Question

Solving Linear Equations Online Practice
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Question
Which of the following is the correct solution to the inequality Cx+4≤18
, where C is a number greater than 0?(1 point)
Responses

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

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

x≤14
x less-than-or-equal-to 14

x≤14C

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

So the correct answer is:

**\( x \leq \frac{14}{C} \)**

This corresponds to the response option:

**C \(x\) less-than-or-equal-to \( \frac{14}{C} \)**.