Which of the following is the correct solution to the inequality Cx+4≤18

Question

, where C is a number greater than 0?(1 point)
Responses

Cx≤14
cap c x is less than or equal to 14 - no response given

x≤14
x is less than or equal to 14 - incorrect

C≤14x
cap c is less than or equal to 14 over x - no response given

x≤14/C

Answer 1

To solve the inequality \( Cx + 4 \leq 18 \):

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

2. Now, divide both sides by \( C \) (since \( C > 0 \), we do not need to reverse the inequality): \[ x \leq \frac{14}{C} \]

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

So the correct response from the options provided is:

• x ≤ 14/C.