Question

−9 ≤ 3m − 4 < 11, m ∈ I

Answer 1

Answer:

5

≤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}

3

−5

≤

3

3m

<

3

15

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

3

−5

≤m<5

Hope this helps!

Answer 2

Answer:

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

Step-by-step explanation:

Isolate the 3m by adding 4 to every part

of inequality:

- 9 ≤ 3m - 4 < 11

-9 + 4 ≤ 3m - 4 < 11 + 4

- 5 ≤ 3m < 15

Now, divide every part of inequality by 3:

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

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

Hope it helps you!

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