which of the following values are solutions to the inequality 6 > 4x - 5

Question

-6 8 -5

Answer 1

To find the solutions to the inequality, we can solve it for x.

Starting with the inequality:
6 > 4x - 5

Add 5 to both sides to isolate the variable:
11 > 4x

Divide both sides by 4 to solve for x:
11/4 > x

This means that any value greater than 11/4 is a solution to the inequality.

Checking the given values:
-6 is not greater than 11/4, so it is not a solution.
8 is greater than 11/4, so it is a solution.
-5 is not greater than 11/4, so it is not a solution.

Therefore, the only solution to the inequality is x = 8.