Solve the following inequality. Graph and check your solution.

Question

2m>16

Answer 1

To solve the inequality 2m > 16, we need to isolate the variable m.

First, we can divide both sides of the inequality by 2 to get:

m > 8

So the solution to the inequality is m is greater than 8.

To graph this solution, we can plot a solid dot at 8 on the number line, and then draw an arrow to the right indicating that the values of m greater than 8 satisfy the inequality.

Checking the solution, we can choose a value greater than 8, such as 9, and substitute it into the inequality:

2(9) > 16
18 > 16

Since 18 is indeed greater than 16, our solution is correct.