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 $ .