# algebra 2

solve: 3+|2y-1|>1 graph the solution set on a number line.

Subtract 3 from each side to get the valid inequality
|2y-1|> -2
If 2y>1, then the term inside | | is positive and
2y -1 > -2
2y > -1
Since you already required 2y>1, the allowed value of y are > 1/2 in this case.

IF the term inside || is negative, then
2y < 1 and
1 - 2y > -2
-2y > -3
2y < 3
y < 3/2 are also allowed solutions

The solution is all real numbers. No matter what value of y you select, the inequality is valid. That should have been immediately obvious, since the term in || cannot be less tnan zero.

1. 👍 0
2. 👎 0
3. 👁 147

## Similar Questions

1. ### Math inequalitites

Hi, I need some help with some inequalitites. Thanks!! Use graphs to find the set. 1.(-9,0) intersection [-4,] I got [-4,0) 2. (-9,0) U [-4,10] I got (-9,10] Solve the linear inequality. Other than (empty set, use interval

asked by Christie on August 18, 2007
2. ### Algebra II

I need some help with some problems as well as need some checked. Could you please help me? Thanks! 1. How do you graph y=1/x 2. How do I the x and y intecepts using a graph? Solve and check the linear equation. 9.

asked by Jessica on August 18, 2007
3. ### Math

( / means absolute value) Solve: 3+/2y-1/>=1. Graph the solution set on a number line. The number line I have is: -5 -4 -3 -2 -1 0 1 2 3 4 5 6 First solution: 3+2y-1>=1 2y-4>=1 2y>=5 y>=5/2 I'm stuck b/c I had to correct the first

asked by Jon on February 24, 2008
4. ### 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

asked by Jill on April 9, 2013
5. ### Math

The graph of the equation y=4-x consists of all the points in the coordinate plane that satisfy the equation. List 5 points that satisfy y= 4-x. Also, what do you think is the minimum number of points you need to plot in order to

asked by victoria on November 21, 2006
1. ### Algebra II

Solve: 3+2(1-x) >6 or 2x+14

asked by Lucy on January 5, 2008
2. ### Math

1)Solve 3+2(1-x)>6 or 2x+14

asked by Jon on February 24, 2008
3. ### Math

Solve the inequality. Expression solution set using interval notation and graph the solution set using a number line. -15x+3

asked by Travis on January 29, 2016
4. ### math

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+64x+64>0 show work please

asked by Paul on January 9, 2013
5. ### Math

Solve the inequality. Expression solution set using interval notation and graph the solution set using a number line. -15x+3

asked by Zach on January 29, 2016

More Similar Questions