Download presentation

Presentation is loading. Please wait.

1
**Linear Inequalities in 2 Variables**

3.3 Linear Inequalities in 2 Variables

2
**OBJECTIVES: Solve and Graph a linear inequality in 2 variables.**

Use a linear inequality in 2 variables to solve real-world problems.

3
**Definition: Linear Inequality in 2 Variables**

Using variables x & y, it is any inequality that can be written in one of the forms below, where A ≠ 0 and B ≠ 0. Ax + By ≥ C Ax + By > C Ax + By ≤ C Ax + By < C

4
**SOLUTION… Ordered Pair (x, y)**

A region of the coordinate plane & is called a half-plane bounded by a boundary line.

5
**Graph: y < x + 2 Graph the line.**

Use a dashed line because the values on this line are not included in the solution Choose a point such as (0, 0) to test. Since (0, 0) satisfies the inequality, shade the region that contains the point

6
**Graph: y ≥ -2x + 3 Graph the boundary line.**

Use a solid line because the values on this line are included in the solution Choose a point like (0, 0) to test Since (0, 0) does not satisfy the inequality, shade the region that does not contain this point.

7
**Extra Examples, If Needed…**

y > -2x – 2 y ≤ 2x + 5

8
GRAPH: x – 3y ≤ 3 Sometimes, you may need to solve for for y before graphing.

9
Graph: 3x – 4y ≥ 4

10
**SOLUTION to 1 variable equations**

A half-plane Graph: x > -2

11
Example Graph: y ≤ -1

12
ACTIVITY PG. 175

Similar presentations

Presentation is loading. Please wait....

OK

Solve Systems of Equations & Graph Inequalities

Solve Systems of Equations & Graph Inequalities

© 2018 SlidePlayer.com Inc.

All rights reserved.

Ads by Google

Ppt on intensive care unit design and layout Ppt on application of linear algebra in computer graphics Ppt on file system in unix everything is a file Ppt on two point perspective pictures Ppt on plane table survey Ppt on materials metals and nonmetals Ppt on judiciary system in india Ppt on centring diphthong Ppt on london stock exchange Ppt on antenatal care