Answer: Second option.
Step-by-step explanation:
Given the following Inequality provided in the exercise:
[tex]50 - 8m \geq 0[/tex]
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:
[tex]50 - 8m-(50) \geq 0-(50)\\\\- 8m \geq -50[/tex]
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:
[tex]\frac{- 8m}{-8} \geq \frac{-50}{-8}\\\\m\leq \frac{25}{4}\\\\m\leq6.25[/tex]
Notice that this solution matches with the second option.
