Linear Programming Question 106

Question: For the inequality $ \frac{x}{3}+\frac{x}{2}<5 $ , the interval is

Options:

A) $ (-\infty ,6) $

B) $ (-\infty ,6] $

C) $ [-\infty ,6) $

D) $ [-\infty ,6] $

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Answer:

Correct Answer: A

Solution:

$ \frac{x}{3}+\frac{x}{2}<5\Rightarrow \frac{2x+3x}{6}<5 $

$ \Rightarrow \frac{5x}{6}<5\Rightarrow x<6\Rightarrow x\in (-\infty ,6) $