Unit 4 Section 15 Linear Inequalities.notebook
February 18, 2016
Linear Inequalities
Unit 4
Aug 8­11:23 AM
Linear Inequalities
Linear Inequality ­ relates two linear expressions with an inequality sign
__
y > 2x + 3
Mar 16­10:33 AM
1
Unit 4 Section 15 Linear Inequalities.notebook
February 18, 2016
Number Line Example
Coordinate Plane Example
x ≤ 3
x ≤ 3
Mar 16­10:37 AM
If the y is on the left,
Inequality
Solid or dashed line?
Shade above or below the line?
y < 3x + 4
_
y < 3x + 4
y > 3x + 4
y > 3x + 4
Mar 16­10:40 AM
2
Unit 4 Section 15 Linear Inequalities.notebook
February 18, 2016
Steps
1st: Make sure the inequality is in
Slope­intercept form
2nd: Using your y­intercept and Slope, graph the line
3rd: Determine if the line is dashed or solid
4th: Shade the solution region
Mar 16­10:45 AM
Graph the linear inequality.
Mar 16­10:47 AM
3
Unit 4 Section 15 Linear Inequalities.notebook
February 18, 2016
y > 3
Mar 23­1:37 PM
x ≥ 4
Mar 5­7:50 AM
4
Unit 4 Section 15 Linear Inequalities.notebook
February 18, 2016
Solve the following by writing an inequality and graphing it.
Suppose you intend to spend no more than $12 on peanuts and cashews for a party. How many packages of each can you buy if peanuts are $2/lb and cashews are $4/lb?
Which of the following are possible solutions?
a)
b)
c)
d)
6 lb. peanuts, no cashews
1 lb. peanuts, 3 lb. cashews
2 lb. peanuts, 1 lb. cashews
1.5 lb. peanuts, 2 lb. cashews
Mar 16­10:48 AM
Homework:
Homework Packet page 59, 60
Feb 11­8:08 AM
5
Unit 4 Section 15 Linear Inequalities.notebook
February 18, 2016
Mar 6­7:20 AM
6