Math 51 3.5 Graphing Linear Inequalities in Two Variables 1.
27
Math 51 3.5 Graphing Linear Inequalities in Two Variables 1
-
Upload
marilyn-ray -
Category
Documents
-
view
219 -
download
3
description
3
Transcript of Math 51 3.5 Graphing Linear Inequalities in Two Variables 1.
1
Math 51
3.5Graphing Linear Inequalities in Two
Variables
2
Solutions to the linear equation are points on the line shown below:
3
Solutions to the linear inequality include all the points on and above the line:
4
Note: the line would be called the boundary line for .
5
1. Solve the inequality for .
2. Graph the boundary line. Use __________________ if have or . Use __________________ if have or .
3. If you have “” or “”, then shade half-plane _____________ the line.
If you have “” or “”, then shade half-plane _____________ the line.
How to Graph Linear Inequalities in Two Variables
6
1. Solve the inequality for .
2. Graph the boundary line. Use __________________ if have or . Use __________________ if have or .
3. If you have “” or “”, then shade half-plane _____________ the line.
If you have “” or “”, then shade half-plane _____________ the line.
How to Graph Linear Inequalities in Two Variables
dashed line
7
1. Solve the inequality for .
2. Graph the boundary line. Use __________________ if have or . Use __________________ if have or .
3. If you have “” or “”, then shade half-plane _____________ the line.
If you have “” or “”, then shade half-plane _____________ the line.
How to Graph Linear Inequalities in Two Variables
dashed linesolid line
8
1. Solve the inequality for .
2. Graph the boundary line. Use __________________ if have or . Use __________________ if have or .
3. If you have “” or “”, then shade half-plane _____________ the line.
If you have “” or “”, then shade half-plane _____________ the line.
How to Graph Linear Inequalities in Two Variables
dashed linesolid line
above
9
1. Solve the inequality for .
2. Graph the boundary line. Use __________________ if have or . Use __________________ if have or .
3. If you have “” or “”, then shade half-plane _____________ the line.
If you have “” or “”, then shade half-plane _____________ the line.
How to Graph Linear Inequalities in Two Variables
dashed linesolid line
above
below
10
1. Solve the inequality for .
2. Graph the boundary line. Use __________________ if have or . Use __________________ if have or .
3. If you have “” or “”, then shade half-plane _____________ the line.
If you have “” or “”, then shade half-plane _____________ the line.
How to Graph Linear Inequalities in Two Variables
dashed linesolid line
above
below
(See http://www.geogebratube.org/student/m6368 to understand why above/below.)
11
Ex 1.Graph: .
12
Ex 1.Graph: .
𝑦 ≤ 32 𝑥−3
13
Ex 1.Graph: .
𝑦 ≤ 32 𝑥−3
14
Ex 1.Graph: .
𝑦 ≤ 32 𝑥−3
15
Ex 1.Graph: .
𝑦 ≤ 32 𝑥−3
16
Ex 1.Graph: .
𝑦 ≤ 32 𝑥−3
17
Ex 2.Graph: .
18
Ex 2.Graph: .
19
Ex 2.Graph: .
20
Ex 2.Graph: .
21
Ex 2.Graph: .
22
Ex 3.Graph: .
23
Ex 3.Graph: .
24
Ex 3.Graph: .
25
Ex 4.Graph: .
26
Ex 4.Graph: .
27
Ex 4.Graph: .
