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] $
Show Answer
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) $