System of Inequalities Objective: I can graph a system of two linear inequalities.

Greater than or equal to Less than or equal to Greater than Less than Inequalities SituationInequality Practice more than an hour each day Write an essay between two and five pages long Do not spend more than $10 on candy and popcorn Collect at least 20 snicker bars while trick or treating P > 1 2 ≤ E ≤ 5 c + p ≤ 10 S ≥ 20

Steps to graph an inequality 1.Graph like normal (slope and y-intercept) 2.Line: Solid (≥, ≤) or Dashed (>, <)? 3.Test point: Shade the truth OR When inequality is written in slope-intercept form,, and ≥ shade above the line

Steps to graph a system of linear inequalities 1.Graph each individual inequality with shading 2.Solution is area shaded twice

Steps to graph a system of linear inequalities 1.Graph each individual inequality with shading 2.Solution is area shaded twice

Paying for College You have been given $40,000 to invest for a college scholarship. You must invest in both stocks and bonds. Let x represent the dollars invested in stocks. Let y represent the dollars invested in bonds. What inequality can you write to represent the amount of money invested in stocks and bonds? Stocks Bonds

Paying for College Each investment requires a minimum purchase of $5,000 What are your new inequalities? Since stocks are more risky you want to at least twice as many bonds as stocks. What is the inequality? Stocks Feasible Region Bonds Constraints Pg 339 #1-3, 5