j_shreyans wrote:Is x > 0?
1) x^6>x^7
2) x^7>x^8
Each statement implies that x≠0.
Implication:
Raising x to an EVEN POWER will yield a POSITIVE value.
As a result, each statement can safely be simplified by dividing by an even power of x.
Statement 1:
Dividing each side by x�, we get:
x�/x� > x�/x�
1 > x.
If x=1/2, then x>0.
If x=-1, then x<0.
INSUFFICIENT.
Statement 2:
Dividing each side by x�, we get:
x�/x� > x�/x�
1/x > 1.
The resulting inequality holds true only if x>0.
SUFFICIENT.
The correct answer is
B.
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