Wednesday

April 16, 2014

April 16, 2014

Number of results: 2,265

**inequality**

(x-4)/(2x+4) is greater than or equal to 1. How do i express solutions to inequalities in interval notation without using the calculator? please help. (x-4)/(2x+4) >=1 multiplying by 2x+4 1) when (2x+4) is +, x-4>=2x+4 or x-2x>=8 -x>=8 x<=-8 notice the ...
*Friday, June 16, 2006 at 10:54am by greg*

**Inequality**

When I solve the inquality 2x^2 - 6 < 0, I get x < + or - sqrt(3) So how do I write the solution? Is it (+sqrt(3),-sqrt(3)) or (-infinity, sqrt(3))? Why? Thanks. So would this work? abs x < ( sqrt 3 ) or - sqrt 3<x<sqrt 3 The answer is given (+sqrt(3),-sqrt(3)) ...
*Sunday, November 5, 2006 at 8:44pm by Jen*

**Inequality**

please check my answers. thanxs! Solve the polynomial inequality and graph the solution set on a number line. Express the solution set in interval notation. x^2 - 6x + 5 > 0 -I got (-ininity,1) u (5, infinity) x^2 - 3x - 18 < 0 -I got (-infinity,-3) u (6, infinity) x^2...
*Tuesday, October 23, 2007 at 8:05pm by Liz*

**inequality**

What is the vertical asymptotic line of Y=(x^3-3x^2)/(9-x^2). thank you
*Wednesday, February 20, 2008 at 2:53am by bat*

**inequality**

Factor out (x-3). Y=(x^3-3x^2)/(9-x^2) = x^2(x-3)/[(3-x)(x+3)] = -x^2/(x+3) This is asymptotic to a vertical line at x=-3
*Wednesday, February 20, 2008 at 2:53am by drwls*

**inequality**

This has nothing to do with inequalities. You are simply looking asymptotes. First of all, what is an asymptote? You need to know the definition of math terms. An asymptote is a boundary line that a graph gets very, very, very close to but NEVER (say NEVER) actually touches. ...
*Wednesday, February 20, 2008 at 2:53am by Guido*

**inequality**

Define a variable and write an inequality. Then solve. A local summer baseball team plays 20 games each season. So far, they have won 9 games and lost 2. How many more games must they win this season to win at least 75% of all their games? I don't know what define a variable ...
*Sunday, February 24, 2008 at 3:39pm by Jon*

**inequality**

A variable can be a symbol or word used to represent some value. For this problem W could be a variable representing the number of additional games that they must win to have won 75%. (number won so far) + (addtional won) >= 75% (total games) substituting... 9 + W >= 0....
*Sunday, February 24, 2008 at 3:39pm by Quidditch*

**inequality**

If they win n more games then total games won = 9+n (9+n)/20 >/=.75 9+n >/= 15 n>/= 6
*Sunday, February 24, 2008 at 3:39pm by Damon*

**inequality**

Janice and Leonard together would like to save more than $3,500. They have saved $425 saved so far. Janice can save $120 more than twice what Leonard can save each month. How much money will they each need to save to reach their goal?
*Thursday, March 17, 2011 at 12:21am by lisa*

**inequality**

If you take the amount they need, $3,500 and subtract $425 which they already have, then subtract $120 that Janice will save more than Leonard, divide it, getting $1477.50 is what each needs to save. To check that take the $1477.50 X 2, plus 120 and 425 = $3.500 Sra
*Thursday, March 17, 2011 at 12:21am by SraJMcGin*

**Inequality**

Hi, can someone explain how to solve this inequality... 2x^3 - 7x^2 < 8x - 28 Thanks, Armando
*Wednesday, June 1, 2011 at 5:29am by Armando*

**Inequality**

2x^3 - 7x^2 < 8x - 28 2x^3 - 7x^2 - 8x + 28 < 0 after some quick trials, I found 2 and -2 to be roots of the corresponding equation so it factors to (x+2)(x-2)(2x-7) < 0 so critical values are 2 , -2, and 3.5 Knowing the typical appearance of a cubic with a positive ...
*Wednesday, June 1, 2011 at 5:29am by Reiny*

**Inequality**

Solve: x - 4 less than or equal to 3x - 8 can u move the 4 and add and then move the 3x to the other side and it become -3x, and then solve?
*Friday, January 20, 2012 at 3:43pm by christy*

**Inequality**

x-4 <= 3x-8 4 <= 2x 2 <= x
*Friday, January 20, 2012 at 3:43pm by Steve*

**inequality**

find the solution to the following inequality 2(2x-6)>x+3, then graph the solution.
*Thursday, March 14, 2013 at 1:15pm by joe*

**inequality**

4x-12>x+3 subtract x from each side, add 12 to each side. 3x>15 divide each side by 3
*Thursday, March 14, 2013 at 1:15pm by bobpursley*

**inequality**

solve the inequality (x+8)^2(x-4) > 0
*Sunday, March 24, 2013 at 10:37pm by Jenn*

**inequality**

the range of x is x>4
*Sunday, March 24, 2013 at 10:37pm by black_widow*

**Jen**

2 < 10^x < 5 take the log of all. log 2< x<log 5
*Thursday, February 22, 2007 at 7:10am by solving inequality*

**Inequality prob#2**

log(x-2) + log(9-x) < 1 log(x-2) + log(9-x) < 1 log(x-2)(9-x)<1 (x-2)(9-x)<10^1 and solve.
*Thursday, February 22, 2007 at 7:10am by solving inequality*

**Triangle Inequality**

Help! We will gladly help you if you state your question.
*Sunday, November 12, 2006 at 5:53pm by l.b*

**Triangle Inequality**

Help! see my previous comment
*Sunday, November 12, 2006 at 5:53pm by l.b*

**math inequality**

13-3m (< = ) –4m is 13-m greater than or eual to -4m No. < means less than. 13-3m is less than or equal to -4m.
*Wednesday, November 29, 2006 at 7:34pm by kirsty*

**inequality expresion**

The cost of a long distant telephone call is $0.36 for first minutes and $0.21 each additional minutes or portion thereof. Write an inequality representing the number of minutes a person could talk with out exceeding $3.00 would this be written as 0.36+0.21(x-1)<$3.00 0.36...
*Tuesday, March 27, 2007 at 9:04am by linda*

**compound inequality**

olve. State the solution set using interval notation and graph it 1/3x > 2 and 1/4x > 2 First should I solve for x. How would you handle this problem? yes, solve for x in each.. x>6; x>8 so if the second condition is met, that is x is g reater than eight, the first...
*Thursday, August 16, 2007 at 2:27pm by Telli*

**solving inequality**

I have two problems that Im.. having a problem with. I would like an answer but with an step by step explanation, so i can do the other 20 that are due tomorrow... lol. 1. 3x - 8 > 10 2. -2x +7 ≤ 37
*Wednesday, December 3, 2008 at 5:31pm by Kali*

**solving inequality**

first question: add 8 to each side, then divide both sides by 3 second: add 2x to each side, subtract 37 from each side. Then, divide both sides by 2.
*Wednesday, December 3, 2008 at 5:31pm by bobpursley*

**solving inequality**

I remember doing this last year, so I'll try to tell you as much as I can remember. My teacher told us last year to start of thinking of it like an equation. Pretend the greater or less than sign is a equals sign. For #1, add 8 to both sides, like you would with an equation. ...
*Wednesday, December 3, 2008 at 5:31pm by Celina*

**Solve Inequality**

Solve the inequality. Express your solution using interval notation and please show all of your work. x(x + 6)(8 – x) >= 0 I need help, I guess I'm not understanding the interval notation portion. I know, that when 0 <= x <= 8 and x <= -6 that the statement is true...
*Sunday, May 29, 2011 at 3:26pm by Armando*

**Solve Inequality**

the solution would be x ≤ -6 OR 0 ≤ x ≤ 8 It might have been marked wrong since you used AND You should have been taught whichever "interval notation" your course is using.
*Sunday, May 29, 2011 at 3:26pm by Reiny*

**Solve Inequality**

There are different ways to represent an interval. The following is a summary. The most common one is x ≤ -6 OR 0 ≤ x ≤ 8 as Reiny has put it. Others use a specialized notation as follows: The lower and then upper limits are written in order from left to ...
*Sunday, May 29, 2011 at 3:26pm by MathMate*

**Algebra inequality**

I have to choose a variable and write inequality For less than or equal to I'm using these keys <| Cuz I don't Jon how to show when I type 1. A van can hold a maximum of 8 passengers I wrote V <| 8 V is less than or equal to 8 2. To apply for a job you need to type at ...
*Sunday, October 14, 2012 at 1:43pm by Marco*

**Algebra inequality**

most folks use <= or >=, not <| or >| #1 is correct, #2 should be t >= 80 where t = typing speed "at least" means "greater than or equal to". It's a minimum value. "at most" gives a maximum value, as in #1 above.
*Sunday, October 14, 2012 at 1:43pm by Steve*

**compound inequality**

solve the compound inequalities show all math work arriving at the solution display a simple line graph 1-x>-3 or 5x-1>19
*Wednesday, March 6, 2013 at 3:05pm by Anonymous*

**compound inequality**

1-x > -3 1+3 > x x < 4 5x-1 > 19 5x > 20 x > 4 Looks like all numbers except x=4.
*Wednesday, March 6, 2013 at 3:05pm by Steve*

**inequality/math**

3x-8>5
*Thursday, March 21, 2013 at 1:33pm by marie*

**inequality/math**

3x-8>5 So 3x>5+8 3x>13 x<13/3 x<4.3333333333(forever)
*Thursday, March 21, 2013 at 1:33pm by MathMat*

**inequality/math**

dividing by a positive value does not change the direction of the inequality. x > 13/3
*Thursday, March 21, 2013 at 1:33pm by Steve*

**Triangle inequality?**

Two altitudes of a triangle have lengths 12 and 14. What is the longest possible length of the third altitude, if it is a positive integer? I tried using the triangle inequality but to no avail...how would I do this?
*Wednesday, April 3, 2013 at 10:07pm by Knights*

**Triangle inequality?**

http://www.algebra.com/algebra/homework/Triangles/Triangles.faq.question.577996.html
*Wednesday, April 3, 2013 at 10:07pm by bobpursley*

**Inequality Sum**

x,y and z are positive integers such that x<y,x+y=201,z−x=200. What is the maximum value of x+y+z?
*Friday, April 19, 2013 at 3:45am by HELP ME...uRGENT!*

**Inequality Sum**

x + y = 201 y = 201 - x y > x that's why x < 201 / 2 x < 100.5 Nearest integer: x = 100 x + y = 201 y = 201 - x y = 201 - 100 y = 101 z − x = 200 z = 200 + x z = 200 + 100 z = 300 x + y + z = 100 + 101 + 300 = 501
*Friday, April 19, 2013 at 3:45am by Bosnian*

**Inequality Sum**

OR x + y = 201 y = 201 - x z − x = 200 z = 200 + x x + y + z = x + 201 - x + 200 + x x + y + z = 401 + x x + y = 201 mean : x < 201 / 2 x < 100.5 ________________________________________ For example : If x = 101 y = 201 - x = 201 - 101 = 100 That not satisfie ...
*Friday, April 19, 2013 at 3:45am by Bosnian*

**Math**

2≤|(|x|+1)/(x+3)|
*Sunday, September 30, 2012 at 5:19am by inequality absolute value of rational numbers*

**rational inequality, math**

2 6 ___ + ____ < or = - 5 X X - 1 Can some one please clearly show me how to answer this and put the solution in interval notation? You need to find another way to write the inequality more clearly. Try using / for division and parentheses for clarification of operations. ...
*Sunday, November 26, 2006 at 7:42pm by agirl123*

**solving logarithmic inequality**

0.2 <= logx < 2 take the antilog of each side.. 100.2 < x < 10^2
*Friday, February 23, 2007 at 8:27am by Jen*

**absolute value inequality help**

solve and write in interval notation |6x+2|<18 -18<6x+2<18 10/3<x<8/3 (-10/3,8/3)
*Friday, March 21, 2008 at 7:27pm by Anonymous*

**absolute value inequality help**

You probably just had a typo by leaving out the - in front of 10/3 in your second last line it should say -10/3<x<8/3 Why are you writing the endpoints as an ordered pair (-10/3,8/3)? Are "they" showing you to do that?
*Friday, March 21, 2008 at 7:27pm by Reiny*

**SOLVE THE INEQUALITY **

3X+4Y<12
*Wednesday, October 27, 2010 at 10:10pm by PLEASE HELP SOLVE THIS *

**SOLVE THE INEQUALITY **

solve for x or y? or, do you need to graph it?
*Wednesday, October 27, 2010 at 10:10pm by jai*

**SOLVE THE INEQUALITY **

It just says solve it and then graph it...
*Wednesday, October 27, 2010 at 10:10pm by PLEASE HELP SOLVE THIS *

**SOLVE THE INEQUALITY **

to graph this, first convert this equation to slope-intercept form (y = mx + b),, then graph it like a normal line (imagine the inequality sign to be equal sign),, since the sign is only "greater than" (>) or "less than" (<) (not greater than or equal to (>=)) the ...
*Wednesday, October 27, 2010 at 10:10pm by jai*

**SOLVE THE INEQUALITY **

ITS ACTUALLY THE SYMBOL I GAVE WITH A LINE UNDER NEATH IT. i DO NOT UNDERSTAND THIS. PLEASE HELP ME.
*Wednesday, October 27, 2010 at 10:10pm by word problems*

**SOLVE THE INEQUALITY **

please helop me!!!!
*Wednesday, October 27, 2010 at 10:10pm by find the slope if it exists*

**Linear Inequality + graphing?**

don't quite understand how to go about finding the answer to this problem. I have to find two different points for a line, graph it, and also above or below the line to show the relationship. How do I go about doing this? The equation is: 3y-8x >24
*Monday, March 21, 2011 at 6:30pm by Laura*

**Linear Inequality + graphing?**

y>8/3 x+8 so graph the line y=8/3 x + 8. Above that line is y>8/3 x+8 and below it....is y<8/3 x + 8
*Monday, March 21, 2011 at 6:30pm by bobpursley*

**absolute value inequality help**

math -9h-6+12h+40=22
*Friday, March 21, 2008 at 7:27pm by terri*

**math alg - inequality**

2 word problems write an inequality for each problem. solve the ineequality. 1) the school record for the most points scored in a football season is 85. lawrence has 44 points so far this season. how many more points does he need to break the record? i wrote p +44 >85 2) ...
*Wednesday, November 2, 2011 at 4:59pm by marko*

**math alg - inequality**

type <= or >=. It's easy to understand. answer (1) is right answer (2) should be w + 12500 <= 16000 since the total weight is 12500 plus what you want to add.
*Wednesday, November 2, 2011 at 4:59pm by Steve*

**altitude triangle inequality**

hi guys ive be struggling on this problem for a couple of days, so please help if you can Problem:Two altitudes of a triangle have lengths 12 and 14. What is the longest possible length of the third altitude, if it is a positive integer? Thanks in advance and merry christmas: ...
*Monday, December 31, 2012 at 12:16pm by Knights*

**math alg - inequality**

anything is write once you try hard. This to all my beliebers out there. ≥
*Wednesday, November 2, 2011 at 4:59pm by Justin bieber *

**equation inequality and graph**

(9x+5)(x-3)=0
*Tuesday, January 29, 2013 at 10:13am by aman*

**equation inequality and graph**

imma assume you want us to just solve for x?
*Tuesday, January 29, 2013 at 10:13am by visoth*

**Find the following inequality**

Find the following inequality. 15(x^2-1)>16x
*Friday, March 15, 2013 at 12:04pm by Sara*

**Find the following inequality**

is it lost? You must mean "solve" the inequality 15(x^2-1)>16x 15x^2 - 16x - 15 > 0 (5x+3)(3x-5) > 0 If the product is positive, either both are positive, or both are negative. So, x < -3/5 or x > 5/3
*Friday, March 15, 2013 at 12:04pm by Steve*

**Solve the inequality**

Solve the inequality x^2(8+x)(x-9)/(x+4)(x-7) is greater than or equal to 0?
*Sunday, March 24, 2013 at 10:53pm by Jenn*

**Solve the inequality**

x^2(8+x)(x-9)/(x+4)(x-7) >=0 x^2(8+x)(x-9)(x+4)(x-7)>=0 therefore the ranges are x>=9,0<=x<=7,-8<=x<=-4 But x cannot equal -4 or 7 therefore the ranges of x are x>=9,0<=x<7,-8<=x<-4
*Sunday, March 24, 2013 at 10:53pm by black_widow*

**Solve the inequality**

Hmm. I get x in (-oo,-8] U [-4,7] U (9,+oo) Gotta watch to be sure top and bottom are same sign.
*Sunday, March 24, 2013 at 10:53pm by Steve*

**Solve the inequality...**

Solve the inequality x^2(9+x)(x-9)/(x+7)(x-5) is greater than or equal to 0?
*Monday, March 25, 2013 at 9:58pm by Jenn*

**Solve the inequality...**

I will assume that the denominator is (x+7)(x-5) or x^2(9+x)(x-9)/((x+7)(x-5)) ≥ 0 (that is not what you typed) the critical values are -9, -7, 0, 5, and 9 so pick a value for each domain and evaluate. We do not need the actual value, just the sign. 1. x< -9 , x = -10...
*Monday, March 25, 2013 at 9:58pm by Reiny*

**Solve the inequality**

Solve the inequality algebraically 8x-3 ≥ -3x^2
*Thursday, March 28, 2013 at 9:05am by Alley*

**Solve the inequality**

8x-3 ≥ -3x^2 3x^2 + 8x - 3 ≥ 0 (x + 3)(3x - 1) ≥ 0 critical values are x = -3 and x = 1/3 visualize the parabola y = 3x^2 + 8x - 3 it would have x-intercepts of -3 and 1/3 and be above the x-axis , y≥0 , for x ≤ -3 or x ≥ 1/3 so : x ≤...
*Thursday, March 28, 2013 at 9:05am by Reiny*

**Solve the polynomial inequality**

Solve the polynomial inequality and graph the solution set on a real number line. Express the solution set in interval notation. x^3+x^2+4x+4<0 The solution set is=
*Tuesday, April 9, 2013 at 2:18pm by Jill*

**Solve the polynomial inequality**

x^3+x^2+4x+4<0 (x^2(x+1) + 4(x+1) < 0 (x+1)(x^2+4) < 0 well, x^2 + 4 is always positive, so the only way the whole thing < 0 if x+1 < 0 x < -1 check: good ol' Wolfram webpage http://www.wolframalpha.com/input/?i=plot+y+%3D+x%5E3%2Bx%5E2%2B4x%2B4 notice where ...
*Tuesday, April 9, 2013 at 2:18pm by Reiny*

**Solve the polynomial inequality**

Thank you!!!
*Tuesday, April 9, 2013 at 2:18pm by Jill*

**Solve the inequality**

Solve the inequality. Write the solution in interval notation. (x+14)/(x-8)≥ 1
*Thursday, May 2, 2013 at 5:00pm by Audrey*

**Solve the inequality**

if x-8> 0 , then x+14 ≥ x-8 14 ≥ -8 , so true for all x's if x-8 < 0 x+14 ≤ x-8 14 ≤ -8 , no way! so true for x > 8 check: take a value > 8 e.g. x = 10 statement becomes 24/2 ≥ 1 , true take a value < 8 e.g x = 1 statement becomes ...
*Thursday, May 2, 2013 at 5:00pm by Reiny*

**Math (Absolute Value Inequality)**

Find the maximum value of a such that the following statement is true: If ∣x−8∣<a, then x^2−11x−210<0.
*Thursday, May 23, 2013 at 11:13am by Shin*

**Math (Absolute Value Inequality)**

Let a and b be the maximum and minimum value of x, respectively, satisfying the inequality |x+19|+|x−22|≤137, then what is a−b?
*Thursday, May 23, 2013 at 11:14am by Shin*

**Math (Absolute Value Inequality)**

Clearly for -19 <= x <= 22 the sum is constant at 41. On each end of the interval, the sum rises by 2 for each change of 1 in x. Since 137-41 = 96, divide that by 2 to see that as long as x is within 48 of the endpoints of [-19,22] the sum is within 96 of 41. So, -67 <...
*Thursday, May 23, 2013 at 11:14am by Steve*

**Math (Absolute Value Inequality)**

Thanks MathMate :)
*Sunday, May 26, 2013 at 3:31am by Shin*

**Math (Absolute Value Inequality)**

Find the maximum value of a such that the following statement is true: If ∣x−8∣<a, then x^2−11x−210<0.
*Sunday, May 26, 2013 at 3:31am by Shin*

**Math (Absolute Value Inequality)**

If we would like to satisfy the condition: x^2−11x−210 < 0, we need to find the roots of x^2−11x−210=0. By factoring, we have (x-21)(x+10)=0 The leading coefficient (of x^2) is positive, so the curve is concave up. => x<0 between -10 and 21. To...
*Sunday, May 26, 2013 at 3:31am by MathMate*

**Math (Absolute Value Inequality)**

Thanks, but how do I find the value of x?
*Sunday, May 26, 2013 at 3:31am by Shin*

**Math (Absolute Value Inequality)**

You probably would like to find the value of a. We established that to satisfy the quadratic inequality x^2−11x−210 < 0 -10<x<21 Now substitute this interval into each of the two linear inequalities: x-8<a and 8-x <a (-10)-8<a => a>-18 8-(-...
*Sunday, May 26, 2013 at 3:31am by MathMate*

**Algebra inequality missing**

If you tried to copy and paste, that does not work here.
*Wednesday, March 26, 2014 at 10:48am by Damon*

**Algebra **

inequality
*Monday, September 28, 2009 at 1:44pm by Anonymous*

**Rational Inequality with Absolute Value**

Here's a question I'm having trouble with: |x|/|x+2|<2 Solve for x. I'm trying to use the case method to solve this problem. Basically I just need confirmation that I did this correctly. I'm doing this through distance learning so I can't ask a teacher until Monday. Case 1...
*Saturday, March 26, 2011 at 1:24pm by Randy*

**Rational Inequality with Absolute Value**

Your approach is impeccable. There is only one little glitch for which you have to watch out. In case one, you assumed x>0, and x+2>0, and you obtained x>-4, which is inconsistent with your assumption of x>0. So it should have been revised to x>0. If you ...
*Saturday, March 26, 2011 at 1:24pm by MathMate*

**Rational Inequality with Absolute Value**

Thanks for you help. I would have expressed my answer in the way you suggested, but I wasn't sure how to type the infinity symbol. I will watch out for the glitch you mentioned. Thanks again, Randy
*Saturday, March 26, 2011 at 1:24pm by Randy*

**Rational Inequality with Absolute Value :)**

:) The infinity symbol at this forum can be typed as follows: & i n f i n ; but without the spaces between the characters.
*Saturday, March 26, 2011 at 1:24pm by MathMate*

**math problem triangle inequality help**

Two sides of a triangle are 11 and 17. How many possible lengths are there for the third side, if it is a positive integer? I tried listing them all but I get confused...Please help thank you!
*Wednesday, December 26, 2012 at 3:34pm by Knights*

**math problem triangle inequality help**

The sum of any two sides must be greater than the third side for a triangle to exist let the third side be x x+11>17 AND x+17>11 AND 11+17> x x > 6 AND x>-6 AND x < 28 so 6 < x < 28 So how many positive integers can you count between 6 and 28 exclusive ?
*Wednesday, December 26, 2012 at 3:34pm by Reiny*

**triangle inequality - altitudes help plz**

hi guys ive be struggling on this problem for a couple of days, so please help if you can Problem:Two altitudes of a triangle have lengths 12 and 14. What is the longest possible length of the third altitude, if it is a positive integer? Thanks in advance and merry christmas: ...
*Tuesday, January 1, 2013 at 8:39am by Knights*

**triangle inequality - altitudes help plz**

I'm not sure there is one. Consider an isosceles triangle, where the two shorter altitudes are the same, say h. If the distance from the base of the altitude to a base vertex is c, then the base angle θ is such that tanθ = h/c If the remaining altitude is k, then we ...
*Tuesday, January 1, 2013 at 8:39am by Steve*

**triangle inequality - altitudes help plz**

My argument above fails because we don't have an isosceles triangle. In the limit, with an isosceles triangle, we end up with an infinitely tall "triangle" with parallel sides h units apart. However, because we have diagonals 12 and 14, that is not possible. More thought ...
*Tuesday, January 1, 2013 at 8:39am by Steve*

**solve for x with inequality**

(387-46)+x/6=> or = to 70 (341)+x = or > than 70
*Monday, January 7, 2013 at 4:12pm by tony*

**solve for x with inequality**

see my reply to your previous post
*Monday, January 7, 2013 at 4:12pm by Reiny*

**inequality- why is this wrong?**

(x-3)/(x+1) > 5 i solved and got x < -2 but this is not right once you plug it in. please help.
*Thursday, March 21, 2013 at 12:23am by landry*

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