Final answer:
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:
- Add 10 to both sides: -3x - 10 + 10 > 8 + 10, which simplifies to -3x > 18.
- 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.