Question

−9 ≤ 3m − 4 < 11, m ∈ I​

Answer 1

`(-5)/(3) \leq m < 5`

Explanation:

Isolate the 3m by adding 4 to every part of the inequality:

-9 ≤ 3m - 4 < 11

-9 + 4 ≤ 3m -4 + 4 < 11 + 4

-5 ≤ 3m < 15

Now, divide every part of the inequality by 3:

`(-5)/(3) \leq (3m)/(3) < (15)/(3)`

`(-5)/(3) \leq m < 5`

Hope this helps!