Question

solve the inequality and graph the solution.
-31p - 30 > 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: Add 30 to both sides

$$-31p-30 + 30>1 + 30$$
$$-31p>31$$

Step2: Divide both sides by - 31 and reverse the inequality sign

When dividing an inequality by a negative number, the inequality sign flips.
$$\frac{-31p}{-31}<\frac{31}{-31}$$
$$p < - 1$$

Answer:

The solution of the inequality is \(p < - 1\). On the number - line, we plot an open circle at \(p=-1\) (because the inequality is strict, \(p
eq - 1\)) and draw a ray to the left of \(p =-1\) to represent all values of \(p\) that are less than \(-1\).