1. Equations & Inequalities

Answer the following. Why must -4 be in the solution set of $\frac{x+4}{2x+1}\ge 0$? (Do not solve the inequality.)

Solve each quadratic inequality. Give the solution set in interval notation. See Exam-ples 5 and 6. x^2-7x+10<0

Solve each quadratic inequality. Give the solution set in interval notation. See Exam-ples 5 and 6. x^2-x-6>0

Solve each quadratic inequality. Give the solution set in interval notation. See Exam-ples 5 and 6. x²-7x+10>0

Solve each quadratic inequality. Give the solution set in interval notation. See Exam-ples 5 and 6. 2x²-9x≤18

Solve each quadratic inequality. Give the solution set in interval notation. See Exam-ples 5 and 6. 3x²+x≤4

Solve each quadratic inequality. Give the solution set in interval notation. See Exam-ples 5 and 6. x(x-1)≤6

Solve each quadratic inequality. Give the solution set in interval notation. See Exam-ples 5 and 6. x(x+1)<12

Solve each quadratic inequality. Give the solution set in interval notation. See Exam-ples 5 and 6. x²≤9

Solve each quadratic inequality. Give the solution set in interval notation. See Exam-ples 5 and 6. x²>16

Which inequality has solution set (-∞, ∞)? A. (x-3)²≥0 B. (5x-6)²≤0 C. (6x+4)²>0 D. (8x+7)²<0

Solve each rational inequality. Give the solution set in interval notation. See Examples 8 and 9. 1/(x+2)≥3

Solve each rational inequality. Give the solution set in interval notation. See Examples 8 and 9. 7/(x+2)≥1/(x+2)

Solve each rational inequality. Give the solution set in interval notation. See Examples 8 and 9. 5/(x+1)>12/(x+1)