Question

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

Answer 1

Answer:

$-4, -3, -2, -1, 0, 1, 2$

Step-by-step explanation:

$\frac{-15}{3}<\frac{3n}{3}\leq\frac{6}{3}$ (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 $2$.