1. Equations & Inequalities

Answer the following. Why can 3 not be in the solution set of 14x+9 / x-3 < 0? (Do not solve the inequality.)

Answer the following. Why must -4 be in the solution set of x+4 / 2x+1 ≥ 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. x^2-7x+10>0

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

Solve each quadratic inequality. Give the solution set in interval notation. See Exam-ples 5 and 6. 3x^2+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. x^2≤9

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