Question

o solve the inequality, first solve for the value of m that makes the associated equation true. That will give you the boundary point for the inequality. Solve on paper or show your work below. Then, enter your answer on Zearn.
m - 9 ≥ -6
m−9
=
−6

m
=

Answer 1

To solve the inequality \( m - 9 \geq -6 \), we first need to solve the associated equation:

1. Start with the equation:
\[
m - 9 = -6
\]

2. Add 9 to both sides to isolate \( m \):
\[
m = -6 + 9
\]

3. Simplify the right side:
\[
m = 3
\]

Now, we have found the boundary point \( m = 3 \).

Next, we will express the solution to the inequality \( m - 9 \geq -6 \).

1. Rewrite the inequality:
\[
m - 9 \geq -6
\]

2. Add 9 to both sides:
\[
m \geq -6 + 9
\]
\[
m \geq 3
\]

The solution to the inequality is:
\[
m \geq 3
\]

You can enter this result as the answer to the inequality.