Which of the following is the correct solution to the inequality Cx+4≤18 , where C is a number greater than 0?(1 point)

Question

Responses

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

x≤14
x less-than-or-equal-to 14

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

x≤14C

Answer 1

To solve the inequality \( Cx + 4 \leq 18 \), we can start by isolating \( Cx \).

1. Subtract 4 from both sides:
   \( Cx \leq 18 - 4 \)
   \( Cx \leq 14 \)

2. Since \( C \) is a number greater than 0, we can divide both sides by \( C \) (keeping the inequality direction the same): \[ x \leq \frac{14}{C} \]

Now let's compare this with the answer choices given:

1. \( Cx \leq 14 \) (this is correct based on step 1)
2. \( x \leq 14 \) (this is not correct)
3. \( C \leq 14x \) (not derived from the original inequality directly)
4. \( x \leq 14C \) (not correct because we need \( x \leq \frac{14}{C} \))

Among these options, the first option \( Cx \leq 14 \) is directly derived from the inequality and correct for the intermediate step. However, if identifying the value of \( x \):

\[ x \leq \frac{14}{C} \]

but it does not appear explicitly in your provided options. If you're looking strictly for the solution to that inequality in terms of \( x \), then it seems none of the provided answers fully capture the final simplified form, as they are not consistent with \( x \).

Based on the information provided, the response \( Cx \leq 14 \) is the correct intermediate representation from your options given (confirming the steps up to that point), but not addressing it forming directly toward \( x \leq \frac{14}{C} \).

Choose \( Cx \leq 14 \).