Question

Solve the inequalities:
3(m-5) - 6 > -36
What do I do?

Answer 1

3(m - 5) - 6 > -36

First, add 6 to both sides. / Your problem should look like: $3(m - 5) \ \textgreater \ -36 + 6$
Second, simplify -36 + 6 to get -30. / Your problem should look like: $3(m - 5) \ \textgreater \ -30$
Third, divide both sides by 3. / Your problem should look like: $m - 5 \ \textgreater \ -\frac{30}{3}$
Fourth, since 10 × 3 is 30, simplify the fraction by 10. / Your problem should look like: $m - 5 \ \textgreater \ -10$
Fifth, add 5 to both sides. / Your problem should look like: $m \ \textgreater \ -10 + 5$
Sixth, simplify -10 + 5 to get -5. / Your problem should look like: $m \ \textgreater \ -5$

Answer: m > -5

Answer 2

3(m−5)−6>−36

3m−21>−36

Step 2: Add 21 to both sides.

3m−21+21>−36+21

3m>−15

Divide both sides by 3.

3m/3>−15/3

m>−5