Question

Given that an integer lies between `-2.7 and -3 2/5`, which of the following are true. The integer is: `(A) -2, (B) -3, (C) -3.5, (D) -4` ?

Answer 1

B `(-3)`

Explanation:

Let `n` be the integer, We are told that `n in ZZ`

We are also told that: `-2.7>n> -3 2/5`

i.e. `-2.7>n> -3.4`

Testing each option in turn:

A: `-2> -2.7` Hence `n!= -2`

B: `-3< -2.7` and `-3> -3.4` Hence `n = -3` is a valid option

C: `-3.5< -3.4` also `-3.5 !in ZZ` Hence `n!= -3.5`

D: `-4< -3.4` Hence `n!= -4`

Therefore answer B `(-3)` is the only valid option.