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:
- \( x^2 + x - 20 < 0\)
Solution
\( -5 < x < 4 \)
- \( x^2 - 25 \ge 0\)
Solution
\( x \le -5 \lor x \ge 5 \)
- \( 2x^2 - 3x - 14 > 0\)
Solution
\( \displaystyle x < -2 \lor x > \frac{7}{2} \)
- \( 3x^2 +12x- 15 \le 0\)
Solution
\( -5 \le x \le 1 \)
- \( -x^2 - 3x \ge 0\)
Solution
\( -3 \le x \le 0 \)
- \( -x^2 \ge 3x - 18\)
Solution
\( -6 \le x \le 3 \)
- \( y^3 - 16y \ge 0\)
Solution
\( -4 \le y \le 0 \lor y \ge 4 \)
- \( y^2 < 25\)
Solution
\( -5 < y < 5 \)
- \( -5x^2 (x - 8) > 0\)
Solution
\( x < 8 \land x \ne 0 \)
- \( (2 - 5x)(x + 1) \ge 0\)
Solution
\( \displaystyle -1 \le x \le \frac{5}{2} \)
- \( x^4 - 5x^2 > 36\)
Solution
\( x < -3 \lor x > 3 \)
- \( 6x^3 +7x^2 - 3x > 0\)
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.