Question

# If p, q, n are three positive real numbers and p > q then which of the following is correct.

A

p(1n)<q1n

B

p1n<q1n

C

p1n>q1n

D

pn<qn

Solution

## The correct option is A p(−1n)<q−1n Given that, p > q ⇒ 1p<1q         (using the property of inequality) [1p]1n<[1q]1n Since n is positive [1n] is also positive. So the inequality doesn't change when we raise both sides of the inequality with the positive number  1n. Hence, p−1n<q−1n which is given by option (a). Mathematics

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