Question

What value of x is in the solution set of -2(3x + 2) > -8x + 6?

a) X > 6
b) X > -5
c) X > 5
d) X < -6

Answer 1

After distributing and combining like terms, the inequality -2(3x + 2) > -8x + 6 simplifies to x > 5, making option c) the correct answer.

Step-by-step explanation:

The student asked what value of x is in the solution set of -2(3x + 2) > -8x + 6. To solve the inequality, we need to perform the following steps:

1. Distribute the -2 on the left side: -6x - 4 > -8x + 6.
2. Add 8x to both sides: 2x - 4 > 6.
3. Add 4 to both sides to isolate the x term: 2x > 10.
4. Divide both sides by 2 to solve for x: x > 5.

Therefore, the correct answer is c) X > 5.