Question

What is the solution to the inequality 3m + 5 > 2(m - 7)?

(A) m > 12
(B) m > -12
(C) m > -19
(D) m > 19

Answer 1

The solution to the inequality 3m + 5 > 2(m - 7) is m > -19.

Step-by-step explanation:

To solve the inequality 3m + 5 > 2(m - 7), we need to simplify and isolate the variable m.

First, distribute 2 to the terms inside the parentheses:

3m + 5 > 2m - 14

Next, combine like terms:

3m - 2m > -14 - 5

m > -19

Therefore, the solution to the inequality 3m + 5 > 2(m - 7) is m > -19.