Question

solve the inequality and graph the
1 - 7p < 8
plot the endpoints. select an endpo
middle of the segment, ray, or line to del

Explanation:

Step1: Subtract 1 from both sides

$$1 - 7p-1<8 - 1$$
$$-7p<7$$

Step2: Divide both sides by - 7 and reverse the inequality sign

When dividing an inequality by a negative number, the inequality sign flips.
$$\frac{-7p}{-7}>\frac{7}{-7}$$
$$p > - 1$$

Answer:

The solution of the inequality \(1-7p < 8\) 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 right of \(p=-1\) to represent all values of \(p\) greater than \(-1\).