Solve this inequality: 3p – 16 < 20.

Question

Question 19 options:

A)

p < –12

B)

p < 11/3

C)

p < 12

D)

p < 1/3

Answer 1

To solve the inequality \(3p - 16 < 20\), we will follow these steps:

1. First, add 16 to both sides of the inequality:

   \[ 3p - 16 + 16 < 20 + 16 \] \[ 3p < 36 \]

2. Next, divide both sides by 3:

   \[ \frac{3p}{3} < \frac{36}{3} \] \[ p < 12 \]

So, the solution to the inequality is \( p < 12 \).

The correct answer is:

C) \( p < 12 \)