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

1 Answer
Jun 9, 2017

Answer:

#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:
enter image source here