Complex Numbers And Quadratic Equations question 186

Question: The set of values of $ x $ which satisfy $ 5x+2<3x+8 $ and $ \frac{x+2}{x-1}<4, $ is [EAMCET 1989]

Options:

A) $ (2,3) $

B) $ (-\infty ,1)\cup (2,3) $

C) $ (-\infty ,1) $

D) $ (1,3) $

Show Answer

Answer:

Correct Answer: B

Solution:

Trick: By inspection, we see that all the values of $ x $ lying in $ (-\infty ,1)\cup (2,3) $ satisfy the equations and no other value outside the interval satisfy it.