To solve the inequality \( Cx + 4 \leq 18 \), where \( C \) is a positive number, we start by isolating \( x \):
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Subtract 4 from both sides: \[ Cx \leq 18 - 4 \] \[ Cx \leq 14 \]
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Divide both sides by \( C \) (since \( C > 0 \), the direction of the inequality does not change): \[ x \leq \frac{14}{C} \]
From this, we can analyze the options given:
- Cx ≤ 14: This is equivalent to our derived step before isolating \( x \), but does not complete the solution.
- x ≤ 14: Incorrect.
- C ≤ 14x: Not relevant here.
- x ≤ 14C: Incorrect as it implies a different relationship.
The most directly correct answer is Cx ≤ 14.
However, the inequality implies that the relationship for \( x \) in terms of \( C \) implies \( x \leq \frac{14}{C} \), which was not provided in the multiple responses.
The correct context based on the original inequality is actually that once solved: \[ x \leq \frac{14}{C} \]
So, among the options clearly listed, the correct form that directly leads to identifying constraints on \( x \) would have been \( Cx \leq 14\), but for a conclusive numerically isolated inequality specifically for \( x \), \( x \leq \frac{14}{C} \) would have been ideal.
If \( C > 0 \), the inequality indicates that as \( C \) increases, the upper limit for \( x \) decreases.