MATH 121
INEQUALITIES
1. (x + 1)(x - 1) ≥0
2. (x - 3)(4 - x) ≥ 0 3. (2 + 2x)(3 - x) < 0 4. (x + 2)2(x - 1) < 0 5. x2 + 3x > 0 6. 7. 8. x2 - x > 6 9. x2 - 2x < 3 10. 4 - x2 > 0 11. x2 > 9 |
12. 13. 14. (x + 1)(x - 4)(x - 3) > 0 15. (x + 1)2(x - 4)(x - 3)3 > 0 16. (2x + 1)(x + 3)2(x - 1)3 ≤0 17. 18. 19. 2 - √5x + x2< 0 20. 2x2 - 6x + 3 < 0 21. |
ANSWERS
1. x ≥ 1 or x ≤ -1 2. 3 ≤ x ≤4 3. x < -1 or x > 3 4. x < 1 , x ≠ -2 5. x < -3 or x > 0 6. -2 < x < 1 7. x < -2 or 3 < x < 4 8. x < -2 or x > 3 9. -1 < x < 3 10. -2 < x < 2 11. x < -3 or x > 3 |
12. x < -2 or x > 1 13. -5 ≤ x < -2 14. x > 4 or -1 < x < 3 15. x > 4 or x < 3 ; x ≠-1 16. ½ ≤ x ≤ 1 or x = -3 17. 0 < x ≤ 1 or 2 ≤ x ≤ 3 18. x < 1 or 2 < x < 3 or x > 4 19. ∅ 20. < x <21. x > or 0 < x < ½ |