Download presentation

Presentation is loading. Please wait.

Published byVanessa Sherman Modified over 8 years ago

1
SECTION 4-3: SYSTEMS OF LINEAR INEQUALITIES Goal: Graph, write and use a system of linear inequalities

2
Warm-Up Graph y < x + 2

3
Definitions System of linear inequalities in two variables consists of two or more linear inequalities in the same variables. Solution of a system of linear inequalities is any ordered pair that is a solution of each inequality in the system.

4
Example 1: Check whether (4, 2) is a solution of the system of inequalities. a. x + y > -2b. x – 3y < 4 x – y > 4 x > 1

5
Checkpoint: Check whether (3, -1) is a solution of the system of inequalities. 1. x + y > 12. -2x + y 4 y 6 3x + 4y > 8

6
Definition: Graph of a system of linear inequalities shows all solutions of the system.

7
Graph the system. y -x - 1

8
Graph the system.y -1

9
Graph the system. x > -3 x + 2y < 4

10
Graph the system. x + y > 4 2x – y > 3

11
Graph the system. x > 2 y > -2 3x + 2y < 12

12
Graph the system in 3 variables. x > 0 y > 0 x + y < 5

13
Graph the system in 3 variables. x > 0 y > 2 y < 2x + 6

14
Graph the system in 3 variables. x 5

15
HOMEWORK: P. 188-189 11-15 ODD, 23-28, 31-37 ODD, 43

Similar presentations

© 2024 SlidePlayer.com Inc.

All rights reserved.

To make this website work, we log user data and share it with processors. To use this website, you must agree to our Privacy Policy, including cookie policy.

Ads by Google