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

Answer 1

To solve the inequality \( Cx + 4 \leq 18 \), where \( C \) is a number greater than 0, we start by isolating \( Cx \) on one side of the inequality.

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

2. Now, divide both sides by \( C \) (note that since \( C > 0 \), the direction of the inequality remains the same): \[ x \leq \frac{14}{C} \]

So, the solution to the inequality \( Cx + 4 \leq 18 \) is: \[ x \leq \frac{14}{C} \]

This means \( x \) can take any value less than or equal to \( \frac{14}{C} \), where \( C \) is any positive number.