Question

If | x-2|=9, which of the following would equal |x+3|? a)4 b)7 c)8 d)10 e)11

Answer 1

Answer is (a) `4`

Explanation:

As `|x-2|=9`, either `x-2=9` i.e. `x=9+2=11`

or `x-2=-9` i.e. `x=-9+2=-7`

If `x=11`, `|x+3|=|11+3|=14` and

if `x=-7`, `|x+3|=|-7+3|=|-4|=4`

As `14` is not a choice, answer is (a) `4`