Answer :
Final answer:
To solve the compound inequality, solve each inequality separately and find the intersection of their solutions. The intersection of the solutions to the given compound inequality is x < -9 or x ≥ 6.
Explanation:
To solve the compound inequality 6 - x > 15 or 2x - 9 ≥ 3, we need to solve each inequality separately and find the intersection of their solutions. Let's solve the first inequality, 6 - x > 15:
6 - x > 15
-x > 15 - 6
-x > 9
x < -9
Now let's solve the second inequality, 2x - 9 ≥ 3:
2x - 9 ≥ 3
2x ≥ 3 + 9
2x ≥ 12
x ≥ 6
The intersection of the solutions is x < -9 or x ≥ 6. Therefore, the correct answer is choice D. x < -9 or x ≥ 6.
Final answer:
To solve the compound inequality, solve each inequality separately and then combine the solutions. The solution is x < -9 or x ≥ 6 that is option D is correct.
Explanation:
To solve the compound inequality, we need to solve each inequality separately and then combine the solutions. Let's start with the first inequality, 6 - x > 15. Subtracting 6 from both sides, we get -x > 9. Multiplying both sides by -1 and reversing the inequality, we have x < -9. Next, let's solve the second inequality, 2x - 9 ≥ 3. Adding 9 to both sides, we get 2x ≥ 12. Dividing both sides by 2, we have x ≥ 6. Combining the solutions, we have x < -9 or x ≥ 6. Therefore, the correct answer is option D: x < -9 or x ≥ 6.
