Solve each inequality, then graph on the number line.
3p≤-21
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.
To solve the inequality 3p ≤ -21, we need to isolate the variable p.
Step 1: Divide both sides of the inequality by 3 to isolate p:
(3p) / 3 ≤ (-21) / 3
p ≤ -7
Therefore, the solution to the inequality is p ≤ -7.
To graph this on the number line, we represent all the values of p which are less than or equal to -7. We can shade the region to the left of -7 on the number line to represent this solution.
The graph would look like this:
----------------------●-------------->
-7
The filled-in circle represents -7, and the shaded region to the left of -7 represents the solution p ≤ -7.