Answer: -7 ≤ m ≤ -2
Explanation:
So you start with the problem:
m-4 ≤ 3+2m ≤ 1+m
In order to solve it treat it like one big equation. So our first step would be to subtract m from each part.
m[-m]-4 ≤ 3+2m[-m] ≤ 1+m[-m] => -4 ≤ 3+m ≤ 1
Then we want to get m by itself, so we subtract 3 from all terms.
-4[-3] ≤ 3[-3]+m ≤ 1[-3] => -7 ≤ m ≤ -2
Now we know what m is between, all we have to do is define the answer which is m = [-7,-2] or just keep the inequality -7 ≤ m ≤ -2