Question

How to solve and graph the inequality

Answer 1

For this problem the work would look like this:

`-(w)/(2) \geq -7\\ \\`

Multiply -2 to both sides to isolate w.

`w\leq -7*-2`

Notice that the sign flips! This is because anytime a negative numbers transfers to the other side of the inequality the inequality flips directions.

`w\leq 14`

Now this should be the solution once solving.

The attached picture below shows the graph.

Hope this helps!