Chapter+3

toc =Chapter 3 - Inequalities=

media type="custom" key="3906257"

Section 3-1
Linear Inequalities; Absolute Value

Rules 1.) You can add or subtract the same number to both sides of an inequality If a < b, then a + c < b + c 2.) You can multiply or divide both sides of an inequality by the same positive number. If a 0, then ac < bc 3.) You can mulity or divide both sides of an inequality by the same negative number //if you reverse the inequality sign.// If a < b and c < 0, then ac > bc

Absolute Value lxl = c Solution: x = c OR x = -c lxl < c Solution: -c < x < c lxl > c Solution: x < -c OR x > c



Section 3-2
Polynomial Inequalities in One Variable



Section 3-3
Polynomial nequalities in Two Variables y = mx + k Any point (x,y) ABOVE the line or parabola satisfies the inequality y > mx + k y = mx + k Any poiny (x,y) BELOW the line or parabola satisfies the inequality y < mx + k



Section 3-4
Linear Programming The Corner Point Priciple A max or min value of a linear expression P = Ax + By, if it exists, will occur at a corner point of the feasible region.