Question

Solve the following inequality: −3p+18<−9
.(1 point)
Responses

p>9
p greater than 9

p>−9
p greater than negative 9

p<9
p less than 9

p<−9

Answer 1

To solve the inequality \(-3p + 18 < -9\), follow these steps:

1. Subtract 18 from both sides:
\[
-3p < -9 - 18
\]
\[
-3p < -27
\]

2. Divide both sides by -3. Remember that when you divide or multiply an inequality by a negative number, you must reverse the inequality sign:
\[
p > 9
\]

So the solution is \( p > 9 \).

The correct response is: **p > 9**.