Posted by **Jon** on Monday, February 25, 2008 at 3:55pm.

( / 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

I'm confused on what to do.

- Math -
**Reiny**, Monday, February 25, 2008 at 4:57pm
3+ │2y-1│ ≥ 1 or

│2y-1│ ≥ -2

this has an intuitive solution.

by the definition of absolute value, the left side can only be positive or zero.

any positive value or zero ≥ -2

so the solution would be the entire number set. So draw a solid line on your number line with arrows in either direction.

- Math -
**Jon**, Monday, February 25, 2008 at 5:13pm
I have to show my work so is that ALL I have to do? 3+ ©¦2y-1©¦ ˇÝ 1 or

©¦2y-1©¦ ˇÝ -2

- Math -
**Reiny**, Monday, February 25, 2008 at 5:21pm
by saying,

"by definition │anything│ ≥ -2" you have shown your work.

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