Question

solve for h and graph the solution. h - 16 > -3 or h + 4 ≤ 16 plot the endpoints. select an endpoint to change it from closed to open. select the middle of a segment, ray, or line to delete it.

Explanation:

Step1: Solve the first inequality

Add \(16\) to both sides of \(h - 16> - 3\).
\(h-16 + 16>-3 + 16\)
\(h>13\)

Step2: Solve the second inequality

Subtract \(4\) from both sides of \(h + 4\leqslant16\).
\(h+4-4\leqslant16 - 4\)
\(h\leqslant12\)

Answer:

The solution of the compound - inequality \(h - 16> - 3\) or \(h + 4\leqslant16\) is \(h>13\) or \(h\leqslant12\). On the number - line, for \(h>13\), we have an open circle at \(h = 13\) and a ray pointing to the right. For \(h\leqslant12\), we have a closed circle at \(h = 12\) and a ray pointing to the left.