Solving Linear Equations Online Practice

Question

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15 of 1515 of 15 Items

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 \( \frac{14}{C} \).