Question

If |a-2|<|a-3|, then for what real values of ‘a’, will the inequality hold true?

• A. a<2
• B. a>-5/2
• C. a<-1/2
• D. a>-1/2
• E. a < -2

Answer 1

The correct option is A a<2

option (a)

Take a=0. the inequality satisfies for this value as(2<3). Hence option (c) and option (e) are ruled out.

Take a= 3 => 1<0, Which is not true. Hence, option (b) and option (d) are ruled out. Answer is option (a)