Question

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

Answer 1

`y<=7`

Explanation:

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

`-5y >= -35 iff 5y <= 35`

Now reduce it:

`5y <= 35 iff y <= 7`

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

Here's an example: