Algebra
posted by Julianna .
Right now we are learning about absolute value inequalities. I have to solve and graph this inequality:
Pretend my paranpheses are absolute value signs
(x4) + 5 is greater than or equal to 10.
I assume I would take 5 away from each side first. But what would be the correct way to display this on a line, and what would be its set builder notation and interval notation?
Thank you so much! :)

Here's what I got... 
Julianna
I took away 5 from each side and added 4 to each side. That got me
(x) is greater than or equal to 14.
Would this make the set builder notation be:
{x such as x is greater than or equal to 4}
And the interval notation be:
(negative infinity, 14] U [14, infinity)?
Thanks! :) 
Algebra 
drwls
You have to consider two cases. I will leave out the = sign for convenience.
(1) If x  4 > 0, then
x  4 + 5 > 10
x > 9 (which satisfies the x>4 assumption)
(2) If x  4 < 0, then
If 4  x + 5 > 10, then
x > 1
x < 1
(which satisfies the x<4 assumption)
Respond to this Question
Similar Questions

Math
Can someone please help me with an algebra problem? 
algebra 2
[=absolute value [2x+1]>2 ok im doin inequalities and the only thing i don't get is if i take the absolute value off the 2x+1 goes to 2x+1 right? 
math
when in the absolute value of x equal to the absolute value of negative x? 
math !!!!!!please part of a major grade!!!!!!
when in the absolute value of x equal to the absolute value of negative x? 
Algebra
Solve. Pretend the paranpheses are absolute value bars. (t7) + 3 = 4 I understand how to solve it, but what were your answers for a or a few "t"s? 
calculus
Let M=1000. Which of the conditions is equivalent to f(x)= 1/((4x12)^2)>M? 
algebra 1
Inequality 3  2x2  +16<58 •simplify as much as possible without moving the absolute value sign •rewrite the inequality as two inequalities with out absolute value signs• find solution set of the inequality and graph solution … 
Algebra
I need help with solving these absolute value inequalities. I have to graph them as well. y< x+2+4 and y>x+5+3 I just don't know what to do without a coefficient in front of the absolute value! 
Math
1. Suppose a and b are integers, and the absolute value of a is > than the absolute value of b. Must a be greater than b? 
Algebra
12. Determine if the following is a conjuction or disjunction. y + 4 < 1 or y + 2 > 8 (Points : 1) 13. State how you determined if the combination above was a conjunction or disjunction. (Points : 2) 14. Solve the problem. (Hint: …