N is an integer. write the values of n such that -15<3n\leq6

Question

N is an integer.
write the values of n such that -15<3n
`\leq`6

Answer 1

`-4, -3, -2, -1, 0, 1, 2`

Explanation:

`(-15)/(3)<(3n)/(3)\leq(6)/(3)` (Divide all sides by 3 to make it easier to understand)

`-5<n\leq 2`

Now you can just look at all of the possible values for n, knowing that it's an integer.

`-5` is less than
`n`, so we know that
`n`'s lowest value must be
`-4`.

We also know that
`n` is less than or equal to
`2`, so the highest value of
`n` must be
`2`.

Now you can count through the remaining integers from
`-4` to
`2`.