Question

Which of the following options correctly solves the inequality -7x – (12 – 2x) > 8?

Answer 1

To solve the inequality -7x - (12 - 2x) > 8, distribute the negative sign, combine like terms, add 12 to both sides, and divide by -5.

Step-by-step explanation:

To solve the inequality -7x - (12 - 2x) > 8, we need to simplify and isolate the variable x. Here are the steps:

1. Distribute the negative sign to the terms inside the parentheses: -7x - 12 + 2x > 8.
2. Combine like terms: -5x - 12 > 8.
3. Add 12 to both sides of the inequality: -5x > 20.
4. Divide both sides by -5. Remember that dividing by a negative number flips the inequality sign: x < -4.

Therefore, the correct option is x < -4.