Honors Algebra 2: Polonomial Inequality Extra Practice



Calculator Active.

Solve and graph:

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

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.