Question

How do you solve and graph `5>=7+y`?

Answer 1

`y<=-2`
The area under and inclusive of `y=-2`

Explanation:

Moving terms around,
`5-7>=7-7+y`
`y<=-2`
Draw a horizontal line (not dotted)at
`y=-2`
and continue by shading the area under it.

Answer 2

`y<=-2` so draw the line y=-2, and shade down

Explanation:

First solve for y.
`5>=7+y`
Subtracting 7 from each side gives you
`-2>=y`
Then you graph the line, and input a value to see which way to shade. The line you graph is `y=-2`, so if you input any point where `y=0`, no matter the x value, you will get a point above the line, because `0> -2`.

This shows that all points above the line do not work. Therefore all points below the line must work, so shade down.