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

Question

A. p > -9
B. p < 9
C. p > 9
D. p < - 9

Answer 1

To solve the inequality, we need to isolate the variable p on one side of the inequality.

Starting with −3p + 18 < −9, subtract 18 from both sides:

−3p + 18 - 18 < −9 - 18.

Simplifying, we have −3p < −27.

To isolate p, divide both sides of the inequality by −3. Remember that when dividing by a negative number, the inequality sign flips.

−3p/−3 > −27/−3.

Simplifying, we have p > 9.

So, the solution to the inequality is p > 9.

Therefore, the correct answer is C. p > 9.