If a,b∈R,a≠0,b≠0 and a>b then

a=3, b=2 ∴a>b A: a 1b is wrong

If a,b∈R,a≠0,b≠0 and a>b then

a=3, b=2 ∴a>b A: a 1b is wrong

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If $a, b \in R, a \neq 0, b \neq 0 and a > b then$

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\frac{1}{a} > \frac{1}{b}

a = b

\frac{1}{a} < \frac{1}{b}

a < b

answer is C.

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Detailed Solution

a = 3, b = 2

$∴ a > b$

A: $a < b$ is wrong

B: $a = b$ is wrong

C: $\frac{1}{3} = 0.3; \frac{1}{2} = 0.5; ∴ \frac{1}{3} < \frac{1}{2} \Rightarrow \frac{1}{a} < \frac{1}{b}$

D: $\frac{1}{a} > \frac{1}{b}$ is wrong

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If $a, b \in R, a \neq 0, b \neq 0 and a > b then$