Graphing Systems of Linear Inequalities

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Presentation transcript:

Graphing Systems of Linear Inequalities A-CED.3, A-REI.12

Table of Contents 46: Warm-Up 47: How Do I Graph a System of Linear Inequalities?

Warm-Up Graph the following 1. x - 3y > 3 2. 4x + y ≤ -1

1. x + 3y > 3 -x -x 3y > -x + 3 __ -3 __ -3 __ -3 y < 1x + -1 3

2. 4x + y ≤ -1 -4x -4x y ≤ -4x - 1

Learning Intention/Success Criteria LI: We are learning how to graph a system of linear inequalities SC: I know how to -graph linear equations and linear inequalities -shade linear inequalities correctly -verify if a coordinate is a solution to the given inequality

EQ: How Do I Graph a System of Linear Inequalities? 2/18/2019

Slope A number which is used to indicate the steepness of a line and if the line is tilted uphill or downhill. Indicated by the letter “m” Y – Intercept The point at which the line intersects the y-axis Represented by the letter “b”

Parts of Linear Inequalities Sign Line Shade > Above < Below ≥ Above ≤ Below

Example 1: Graph the system of linear inequalities

Example 1b: What equation do the coordinates satisfy? Equation (1, 9) g(x) (-3, -5) f(x) (4, 0) f(x), g(x) (0, 0) f(x) (-2, 2) none

Guided Practice 1 Graph the system of linear inequalities. State what equation the coordinate satisfies. f(x) ≥ 4x – 3 g(x) > -2x + 3 Coord. Eq. (3, 5) (-2, 9) (0, 8) (1, -4) g(x) both both none

Guided Practice 2 Graph the system of linear inequalities. State what equation the coordinate satisfies. f(x) < 2x - 3 g(x) > -2/3x + 2 Coord. Eq. (3, 5) (-2, 9) (0, 8) (1, -4) g(x) g(x) g(x) f(x)