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Question

If x+4x2>0, then
  1. x(,4)
  2. x(2,)
  3. x(,4)(2,)
  4. x(4,2)


Solution

The correct option is C x(,4)(2,)
We know that, ab>0 when (a>0 and b>0) or  (a<0 and b<0).
Either (x+4>0 and x2>0) or (x+4<0 and x2<0)

Case 1: When x+4>0 and x2>0
x>4 and x>2
x>2
x(2,)

Case 2: When x+4<0 and x2<0
x<4 and x<2
x<4
x(,4)

Solution set =(,4)(2,)
 

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