Question

If the solutions to the inequality -8 + 12x > 4(5 + 2x) can be written as x > y, what is the value of y?

A) y = -1
B) y = 2
C) y = 1
D) y = -2

.

Answer 1

The correct solution to the inequality -8 + 12x > 4(5 + 2x), expressed as x > y, yields y = -7. However, this solution is not listed among the provided options, indicating a possible error in the question.

Step-by-step explanation:

The student is looking to solve the inequality -8 + 12x > 4(5 + 2x) and express it in the form of x > y. To find y, follow these steps:

1. Distribute the 4 on the right-hand side: -8 + 12x > 20 + 8x.
2. Subtract 8x from both sides: 4x > 20 + 8.
3. Subtract 20 from both sides: 4x > -28.
4. Divide both sides by 4: x > -7.

So, the value of y is -7, which is not listed among the options provided. It appears there might be an error in the question or options given as none of the choices match.