Question

solve the inequality and graph the solution.

$$\frac { p + 7 } { - 1 } \geq 1$$

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.

submit

Explanation:

Step1: Multiply both sides by -1

When multiplying an inequality by a negative number, the inequality sign flips.
$$\frac{p + 7}{-1}\times(-1)\leq1\times(-1)$$
$$p + 7\leq - 1$$

Step2: Subtract 7 from both sides

$$p+7 - 7\leq - 1-7$$
$$p\leq - 8$$

Answer:

The solution of the inequality is \(p\leq - 8\). On the number - line, we plot a closed circle at \(-8\) (since the inequality includes equality, \(\leq\)) and draw a ray to the left (towards more negative numbers).