Question

solve the inequality and graph the solution. 3 > \frac{h + 5}{-1} plot the endpoints. select an endpoint to change it from closed to open. select the middle of the segment, ray, or line to delete it.

Explanation:

Step1: Multiply both sides by -1

Multiply both sides of $3>\frac{h + 5}{-1}$ by -1. Remember to reverse the inequality sign when multiplying by a negative number. So we get $3\times(-1)<\frac{h + 5}{-1}\times(-1)$, which simplifies to $- 3

Step2: Subtract 5 from both sides

Subtract 5 from both sides of $-3-8$.

Answer:

The solution of the inequality is $h > - 8$. On the number - line, we use an open - circle at $-8$ (because the inequality is strict, $h$ cannot equal $-8$) and draw a ray to the right of $-8$.