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

x≤14
x less-than-or-equal-to 14

x≤14C
x less-than-or-equal-to Start Fraction 14 over upper C End Fraction

Cx≤14
upper C x less-than-or-equal-to 14

C≤14x
upper C less-than-or-equal-to Start Fraction 14 over x End Fraction

Answer 1

To solve the inequality \( Cx + 4 \leq 18 \), where \( C \) is a number greater than 0, we can follow these steps:

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

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

Thus, the correct solution to the inequality is: \[ x \leq \frac{14}{C} \] This corresponds to the option:

• \( x \leq \frac{14}{C} \)