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 $\frac{x+4}{2x+1}\ge 0$? (Do not solve the inequality.)

Solve each quadratic inequality. Give the solution set in interval notation. x²-7x+10<0

Solve each quadratic inequality. Give the solution set in interval notation. x²-x-6>0

Solve each quadratic inequality. Give the solution set in interval notation. x²-7x+10>0

Solve each quadratic inequality. Give the solution set in interval notation. 2x²-9x≤18

Solve each quadratic inequality. Give the solution set in interval notation. 3x²+x≤4

Solve each quadratic inequality. Give the solution set in interval notation. x(x-1)≤6

Solve each quadratic inequality. Give the solution set in interval notation. x(x+1)<12

Solve each quadratic inequality. Give the solution set in interval notation. x²≤9

Solve each quadratic inequality. Give the solution set in interval notation. 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. 1/(x+2)≥3

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

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