sananoor wrote:
Is x^2 greater than x ?
(1) x^2 is greater than 2x.
(2) 2x^2 is greater than x.
hi
so we are looking for\(x^2>x.....x^2-x>0......x(x-1)>0\)
two cases..
a) x is positive and x-1>0 0r x>1..
b) x is negative and x-1<0 or x<1... or x<0..
lets see the statements..
1)\(x^2>2x...x^2-2x>0...x(x-2)>0\)
so we have two ranges.. x>2 or x<0..
it suffices to answer as YES
suff
2) 2x^2>x....x(2x-1)>0..
here we get x>1/2 and x<0..
but x can be between
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