Download presentation

Presentation is loading. Please wait.

1
**Graphing Linear Inequalities in Two Variables**

graph a linear inequality in two variables model a real life situation with a linear inequality.

2
Recall… Graph n < 3 on a number line.

3
**Graphing an Inequality in Two Variables**

Graph x < 2 Step 1: Start by graphing the line x = 2 Now what points would give you less than 2? Since it has to be x < 2 we shade everything to the left of the line.

4
**Graph x -2 on the coordinate plane.**

y x

5
**Graph y > 3 on the coordinate plane.**

x

6
**Graphing a Linear Inequality**

Sketch a graph of y 3

7
**Some Helpful Hints If the sign is > or < the line is dashed**

If the sign is or the line will be solid When dealing with just x and y. If the sign > or the shading either goes up or to the right If the sign is < or the shading either goes down or to the left

8
**Step 1: Put into slope intercept form**

Using What We Know Sketch a graph of x + y < 3 Step 1: Put into slope intercept form y <-x + 3 Step 2: Graph the line y = -x + 3

9
**When dealing with slanted lines **

If it is > or then you shade above If it is < or then you shade below the line

10
**> < Graph y -3x + 2 on the coordinate plane. y**

Instead of testing a point If in y = mx + b form... Shade up Shade down Solid line x > < Dashed line

11
**-3x -3x -4y > -3x + 12 -4 -4 Graph on the coordinate plane.**

y < x - 3 x Boundary Line m = b = -3

12
**Graph y -3x + 2 on the coordinate plane.**

Boundary Line y = -3x + 2 m = -3 b = 2 x Test a point not on the line test (0,0) (0) + 2 Not true!

13
Problem If you have less than $5.00 in nickels and dimes, find an inequality and sketch a graph to describe how many of each coin you have. Let n = # of nickels Let d = # of dimes 0.05 n d < 5.00 or 5 n + 10 d < 500

14
5n + 10d < 500 n d d 50 60 50 40 30 20 10 100 n

15
**Graphing Absolute Value Inequalities**

16
**Graphing Absolute Value Inequalities**

Similar presentations

Presentation is loading. Please wait....

OK

Linear Inequalities in Two Variables

Linear Inequalities in Two Variables

© 2018 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