( / means absolute value)

Question

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.

Answer 1

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.

Answer 2

I have to show my work so is that ALL I have to do? 3+ ©¦2y-1©¦ ¡Ý 1 or
©¦2y-1©¦ ¡Ý -2

Answer 3

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