Question

solve the inequality. graph the solution.
$-\frac{1}{3}(p + 9) \leq 4$
the solution is \square.

Explanation:

Step1: Multiply both sides by -3

$$-\frac{1}{3}(p+9) \times (-3) \geq 4 \times (-3)$$
Note: Inequality flips when multiplying by negative number.
Simplify to get: $p + 9 \geq -12$

Step2: Subtract 9 from both sides

$$p + 9 - 9 \geq -12 - 9$$
Simplify to get: $p \geq -21$

Step3: Graph the solution

The inequality $p \geq -21$ uses a closed dot at -21 (since the inequality includes equality) and an arrow pointing to the right (for values greater than -21).

Answer:

The solution is $\boldsymbol{p \geq -21}$
For the graph: Use the closed dot with a rightward arrow (the 6th option in the graph tools) placed at -21 on the number line.