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

May 15, 2018

$y \le - 2$
The area under and inclusive of $y = - 2$

Explanation:

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

May 15, 2018

$y \le - 2$ so draw the line y=-2, and shade down

Explanation:

First solve for y.
$5 \ge 7 + y$
Subtracting 7 from each side gives you
$- 2 \ge y$
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.