Question

Tamara has a $50 gift card to the theater. Each movie costs $8. She can decide how many movies to see by solving the inequality 50 – 8m ≥ 0. Which is the correct solution?

Answer 1

Answer: Second option.

Explanation:

Given the following Inequality provided in the exercise:

`50 - 8m \geq 0`

You need to solve for "m".

Then, you can follow the steps below in order to find the solution of the inequality:

Step 1: You must apply the Subtractrion property of Inequality and subtract 50 from both sides:

`50 - 8m-(50) \geq 0-(50)\\\\- 8m \geq -50`

Step 2: Now you need to apply the Division property of Inequality and divide both sides of this inequality by -8 (Since you are dividing both sides by a negative number the direction of the inequality changes). Then, you get:

`(- 8m)/(-8) \geq (-50)/(-8)\\\\m\leq (25)/(4)\\\\m\leq6.25`

Notice that this solution matches with the second option.