# Honors Algebra 2: Polonomial Inequality Extra Practice

• Class: Honors Algebra 2
• Author: Peter Atlas
• Algebra and Trigonometry: Structure and Method, Brown

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Solve and graph:

1. $$x^2 + x - 20 < 0$$
2. Solution $$-5 < x < 4$$
3. $$x^2 - 25 \ge 0$$
4. Solution $$x \le -5 \lor x \ge 5$$
5. $$2x^2 - 3x - 14 > 0$$
6. Solution $$\displaystyle x < -2 \lor x > \frac{7}{2}$$
7. $$3x^2 +12x- 15 \le 0$$
8. Solution $$-5 \le x \le 1$$
9. $$-x^2 - 3x \ge 0$$
10. Solution $$-3 \le x \le 0$$
11. $$-x^2 \ge 3x - 18$$
12. Solution $$-6 \le x \le 3$$
13. $$y^3 - 16y \ge 0$$
14. Solution $$-4 \le y \le 0 \lor y \ge 4$$
15. $$y^2 < 25$$
16. Solution $$-5 < y < 5$$
17. $$-5x^2 (x - 8) > 0$$
18. Solution $$x < 8 \land x \ne 0$$
19. $$(2 - 5x)(x + 1) \ge 0$$
20. Solution $$\displaystyle -1 \le x \le \frac{5}{2}$$
21. $$x^4 - 5x^2 > 36$$
22. Solution $$x < -3 \lor x > 3$$
23. $$6x^3 +7x^2 - 3x > 0$$
24. Solution $$\displaystyle -\frac{3}{2} < x < 0 \lor x > \frac{1}{3}$$

In the problem sets on §4.9 (p. 204) I only assigned even problems. Do the odd problems for extra practice. The answers are in the back of the book.