Question

solve the following inequality.

-\frac{1}{2}p < -16

which graph shows the correct solution?

Explanation:

Step1: Solve the inequality

Multiply both sides of the inequality \(-\frac{1}{2}p < - 16\) by \(-2\). Remember that when multiplying or dividing an inequality by a negative number, the direction of the inequality sign changes. So we have \(p>32\).

Answer:

The graph that has an open circle at \(32\) and a line extending to the right (the first graph among the options, assuming the first graph has an open - circle at \(32\) and a right - pointing arrow) is the correct one.