Answer:
The solution to the inequality -3(p+1) ≤ -18 is p ≥ 5.
Explanation:
To solve the inequality -3(p+1) ≤ -18, you can start by distributing the -3 to the expression inside the parentheses:
-3p - 3 ≤ -18
Next, you can isolate the variable on one side of the inequality by adding 3 to both sides:
-3p ≤ -15
Finally, you can solve for the variable by dividing both sides by -3. Since you are dividing by a negative number, you need to flip the direction of the inequality:
p ≥ 5
Therefore, the solution to the inequality is p ≥ 5.