Section+2.8


 * Section 2.8 - Solving Inequalities**

Steps: 1. get a zero on one side of the inequality 2. find the values that make the equation equal zero 3. place these values on a numberline and test each interval 4. shade the intervals that satisfy the inequality
 * Polynomial Inequalities**

Example: 2x³-7x²-10x+24>0 2x³-7x²-10x+24=0 __4__l(find by graphing)2...-7...-10...24 .................................8....4....-24

........................2....1....-6....0 2x²+x-6=0 (2x-3)(x+2)=0 x=-2,3/2,4  o(3/2)o(4)> (-2,3/2)U(4,∞)
 * find where it satisfies the equation by looking at the graph & seeing which intervals are greater than zero, or test a number in each interval & see if it satisfies the equation*

Steps: same as polynomials, except we include the values that make the denominator equal zero on the number line because in rational graphs we have asymptotes
 * Rational Inequalities**

Example: (x-3)√x+1 ≥ 0 x-3=0 √x+1=0 x=3 x=-1 > (3,∞)

Homework: first night of section - pg 265 (33-53 odd) second night of section - pg 270 (75-82)