Question

How to solve and graph the inequality

Answer 1

For this problem the work would look like this:

$-\frac{w}{2} \geq -7$

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!