Complex Numbers And Quadratic Equations question 803

Question: The complete solution of the inequation $ x^{2}-4x<12\text{ is} $ [AMU 1999]

Options:

A) $ x<-2 $ or $ x>6 $

B) $ -6<x<2 $

C) $ 2<x<6 $

D) $ -2<x<6 $

Show Answer

Answer:

Correct Answer: D

Solution:

$ x^{2}-4x<12 $
Þ $ x^{2}-4x-12<0 $
Þ $ x^{2}-6x+2x-12<0 $
Þ $ (x-6)(x+2)<0 $
Þ $ -2<x<6 $ .