Question

−9 ≤ 3m − 4 < 11, m ∈ I​

Answer 1

Answer:

$\frac{-5}{3} \leq m < 5$

Step-by-step 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:

$\frac{-5}{3} \leq \frac{3m}{3} < \frac{15}{3}$

$\frac{-5}{3} \leq m < 5$

Hope this helps!