Question

Solve this inequality: -3x - 10 > 8. What is the correct solution?

A. x < 11
B. x > 5
C. x < -6

Answer 1

The inequality -3x - 10 > 8 is solved by adding 10 to both sides, then dividing by -3, and flipping the inequality sign, yielding the solution x < -6.

Step-by-step explanation:

To solve the inequality -3x - 10 > 8, let's solve for x step by step:

1. Add 10 to both sides: -3x - 10 + 10 > 8 + 10, which simplifies to -3x > 18.
2. Divide both sides by -3: -3x / (-3) > 18 / (-3). Remember to flip the inequality sign because we are dividing by a negative number. Thus, we get x < -6.

The correct solution is therefore C. x < -6.