Solve the following inequality. Graph and check your solution.

Question

6m >48

Answer 1

To solve the inequality 6m > 48, we need to divide both sides of the inequality by 6:

m > 8

To graph the solution, we can plot a number line and shade the region to the right of 8, since m needs to be greater than 8.

Number line:
<_______________o_______>

Checking the solution:

Let's choose a value for m greater than 8, such as m = 10.

6(10) = 60, which is greater than 48.

Since m = 10 satisfies the inequality, we can conclude that the solution is correct.