Solve the following inequality: −3p+18<−9

Question

.(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.