Download presentation
Presentation is loading. Please wait.
Published byRosalyn Kelly Modified over 9 years ago
1
Dr. Fowler CCM Graphing Linear Inequalities
2
The graph of an inequality in two variables is the set of points that represent all solutions of the inequality. The BOUNDARY LINE of a linear inequality divides the coordinate plane into two HALF-PLANES. Only one half-plane contains the points that represent the solutions to the inequality. Graph an Inequality in Two Variables
3
Graphing Linear Inequalities The boundary line will be a: –Solid line when ≤ and ≥ are used. –Dashed line when are used. shaded Our graph will be shaded on one side of the boundary line to show where the solutions of the inequality are located.
4
Graphing Linear Inequalities Graphing Boundary Lines: –Use a dashed line for. –Use a solid line for ≤ or ≥.
5
Graph an Inequality Graph the equation STEP 1 Graph the inequality y > 4x - 3. STEP 2 Test (0,0) in the original inequality. STEP 3 Shade the half-plane that contains the point (0,0), because (0,0) is a solution to the inequality.
6
Graph an Inequality Graph the equation STEP 1 Graph the inequality. Graph the inequality x + 2y ≤ 0. STEP 2 Test (1,0) in the original inequality. STEP 3 Shade the half-plane that does not contain the point (1,0), because (1,0) is not a solution to the inequality. 2y = -x y = -1 x __ 2 2 __
7
Graph an Inequality Graph the equation STEP 1 Graph the inequality. Graph the inequality x + 3y ≥ -1. STEP 2 Test (1,0) in the original inequality. STEP 3 Shade the half-plane that contains the point (1,0), because (1,0) is a solution to the inequality. Plug in Zero’s to find x & y intercepts: X intercept = -1 Y intercept = -1/3
8
Graph an Inequality Graph the equation STEP 1 Graph the inequality. Graph the inequality y ≥ -3. STEP 2 Test (2,0) in the original inequality. Use only the y- coordinate, because the inequality does not have a x-variable. STEP 3 Shade the half-plane that contains the point (2,0), because (2,0) is a solution to the inequality. X intercept = none Y intercept = -3
9
Graph an Inequality Graph the equation STEP 1 Graph the inequality x. Graph the inequality x ≤ -1. STEP 2 Test (0,3) in the original inequality. Use only the x- coordinate, because the inequality does not have a y-variable. STEP 3 Shade the half-plane that does not contain the point (0,3), because (0,3) is not a solution to the inequality. y intercept = none x intercept = -1 ● 0,3
10
Excellent Job !!! Well Done
11
Stop Notes Do Worksheet
Similar presentations
© 2025 SlidePlayer.com. Inc.
All rights reserved.