Let's solve the inequality step-by-step:
We are given the inequality:
[tex]\[
2(m + 3) < -5 + 3m
\][/tex]
First, distribute the 2 on the left side:
[tex]\[
2m + 6 < -5 + 3m
\][/tex]
Next, we want to get all terms involving [tex]\(m\)[/tex] on one side and constants on the other side. Let's subtract [tex]\(2m\)[/tex] from both sides:
[tex]\[
6 < -5 + m
\][/tex]
Now, add 5 to both sides to isolate [tex]\(m\)[/tex]:
[tex]\[
11 < m
\][/tex]
So, the solution to the inequality is:
[tex]\[
m > 11
\][/tex]
Given your choices, the correct answer is:
[tex]\[
m > 11
\][/tex]
