Systems Inequalities

Systems Inequalities

WARM UP A farmer saw some chickens and pigs in a field. He counted 60 heads and 176 legs. How many chickens and how many pigs

did the farmer see? Answer c + p = 60 2c + 4p = 176 c = 32, p =28

Go over Quiz CCGPS Coordinate Algebra Day 22 (9-12-12) UNIT QUESTION: How do I justify and solve the solution to a

system of equations or inequalities? Standard: MCC9-12.A.REI.1, 3, 5, 6, and 12 Todays Question: How do I know where to shade when graphing linear

SOLVING LINEAR INEQUALITIES IN TWO VARIABLES Coordinate Plane

Half plane A region containing all points that has one boundary, which is a straight line that continues in both directions infinitely.

Steps for Graphing Inequalities 1. 2. 3.

4. 5. Get in slope-intercept form Determine solid or dashed line Determine whether to shade above

or shade below the line (Test Points) If the test point is true, shade the half plane containing it. If the test point is false, shade the half plane that does NOT contain the point.

Symbols Shade above > Symbols

Shade below < Symbols Dashed

Line < > Symbols Solid Line

Ex.1 x 2y 6 Ex. 2

2x y 4 Ex. 3 y 3x 7

Ex. 4 1 y x 4 3 Homework

Worksheet

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