Question

If a > b then which of the following are true:

assume a and b are positive integers.

• A. 2a >2b
• B. $\frac{1}{a}>\frac{1}{b}$
• C. $\frac{1}{a}<\frac{1}{b}$
• D. $a^2<b^2$

Answer 1

Answer: (A), (C)

The correct options are
A

2a >2b

C

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

While solving inequalities its best to assume numbers which fit the given conditions and then solve.

Let a= 3 and b= 2.

a>b

2a= 6 and 2b= 4

so 2a>2b.

$\frac{1}{3}$=0.333 and $\frac{1}{2}$=0.5

So,$\frac{1}{a}<\frac{1}{b}$