Which of the following is the correct solution to the inequality Cx + 4 <_ 18, where C is a number greater than 0?

Question

A. Cx <_ 14
B. x <_ 14
C. x <_ 14/C
D. C <_ 14/x

Answer 1

To solve the inequality \( Cx + 4 \leq 18 \), we can follow these steps:

1. Subtract 4 from both sides: \[ Cx \leq 18 - 4 \] \[ Cx \leq 14 \]

2. Next, divide both sides by \( C \) (since \( C \) is greater than 0, the inequality direction remains unchanged): \[ x \leq \frac{14}{C} \]

This means the correct solution to the inequality is: \[ x \leq \frac{14}{C} \]

Therefore, the correct answer is: C. \( x \leq \frac{14}{C} \).