1. Equations & Inequalities

Solve each rational inequality. Give the solution set in interval notation. (5-3x)²/(2x-5)³>0

Solve each rational inequality. Give the solution set in interval notation. (5x-3)³/(25-8x)²≤0

Solve each rational inequality. Give the solution set in interval notation. (2x-3)(3x+8)/(x-6)³≥0

Solve each rational inequality. Give the solution set in interval notation. (9x-11)(2x+7)/(3x-8)³>0

Solve each problem. A baseball is hit so that its height, s, in feet after t seconds is s=-16t²+44t+4. For what time period is the ball at least 32 ft above the ground?

Solve each problem. Velocity of an Object The velocity of an object, v, after t seconds is given by v=3t²-18t+24.Find the interval where the velocity is negative.

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