Linear Programming Question 102
Question: The set of values of x which satisfy the inequations $ 5x+2<3x+8 $ and $ \frac{x+2}{x-1}<4 $ is
Options:
A) $ (-\infty ,1) $
B) (2, 3)
C) $ (-\infty ,3) $
D) $ (-\infty ,1)\cup (2,3) $
Show Answer
Answer:
Correct Answer: D
Solution:
$ 5x+2<3x+8 $
$ \Rightarrow x<3 $ (1) And $ | \frac{x^{2}+1}{x} |>2 $
$ \Rightarrow \frac{x-2}{x-1}>0 $
$ \Rightarrow x<1 $ or $ x>2 $ (2) From (1) and (2), we get $ x\in (-\infty ,1)\cup (2,3) $ .
BETA
