MATH 121
INEQUALITIES
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1. (x + 1)(x - 1) ³0
2. (x - 3)(4 - x) ³ 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 - 20. 2x² - 6x + 3 < 0 21. |
ANSWERS
1. x ³ 1 or x £ -1 2. 3 £ x £4 3. x < -1 or x > 3 4. x < 1 , x ¹ -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 ¹-1 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. Æ 20. 21. x > |