Question

How do you write down all possible values of y given `-8<=2y<3` and y is an integer?

Answer 1

We first reduce this to an inequality in just `y`

Explanation:

Divide everthing by `2`:
`-4<=y<1 1/2`

This leaves all integer values between `-4 and+1 1/2`
So `y=-4,-3,-2,-1,0,1`

Note that `-4` is included because of the `<=`