Question

N is an integer and -2 < n x 3 < 4

Write down all possible values of n,
from smallest to largest.

All values must be separated by commas e.g ... , ... , ...

Answer 1

-1/3, -1/2, -1/4,0, 1/4, 1/2, 1/3, 2/3, 1, 1.25

Explanation:

so let's split this compound inequality into two groups:

group 1) -2<n*3

and

group 2) n*3<4

group 1) divide both sides by "3"

-2/3<n

group 2) divide both sides by "3"

n<4/3

so n>-2/3 and n<4/3

all values greater than -2/3 and less than 4/3: -1/3, -1/2, -1/4,0, 1/4, 1/2, 1/3, 2/3, 1, 1.25