Question

find the value of m when 5m = 45.
5m = 45
m = 9
describe the solution of 5m ≥ 45.
if m is equal to 9, 5m will be equal to 45.
if m is greater than 9, 5m will be greater than 45.
graph an inequality to represent all possible values of m.

Explanation:

Step1: Solve the inequality

Start with the given inequality:
$$5m \geq 45$$
Divide both sides by 5:
$$m \geq 9$$

Step2: Prepare number line graph

• Identify $m=9$ on the number line.
• Use a closed (filled) dot at 9, since $m$ can equal 9.
• Draw a ray extending to the right from 9, to represent all values greater than 9.

Answer:

The graph has a closed filled dot at $m=9$, with a line extending to the right towards positive infinity, representing all values of $m$ where $m \geq 9$.