Solve each inequality, then graph on the number line.

Question

3p≤-21

Answer 1

To solve for p, we need to isolate it on one side of the inequality sign:

\begin{align*}
3p &\le -21 \\
\frac{1}{3}(3p) &\le \frac{1}{3}(-21) \\
p &\le -7
\end{align*}

The solution is all values of p that are less than or equal to -7. To graph this on the number line, we draw a closed circle at -7 (because it is included in the solution) and shade all values to the left of -7.