# How do you solve -5y>=-35 and graph the solution on a number line?

Jun 9, 2017

$y \le 7$

#### Explanation:

First, multiply both sides by (-1) and swap the "bigger than/smaller than" symbol.

$- 5 y \ge - 35 \iff 5 y \le 35$

Now reduce it:

$5 y \le 35 \iff y \le 7$

To graph this on a number line, you find 7 on it, and because $y \le 7$, you draw an arrow pointing to the left. This signifies every number equal to or below 7 would work.

Here's an example: