February 27, 2013
7.5 ­ Linear Inequalities
Objective:
Be able to graph linear inequalities
REVIEW!
Graphing Inequalities
1. What does an inequality look like?
2. What does linear mean?
February 27, 2013
REVIEW!
Graphing Inequalities
x > ­1
­5
­1
­2
­3
­4
1
0
2
3
5
4
x < ­1
­5
­1
­2
­3
­4
0
1
2
3
5
4
REVIEW: Solving Inequalities 3x + 4 > 16
It works just like an equation! Solve it like normal!
Always remember to graph it afterwards!
­5
­4
­3
­2
­1
0
1
2
3
4
5
February 27, 2013
Here's the only difference! When we MULTIPLY OR DIVIDE BY A NEGATIVE, we switch the sign of our inequality!
1. Get x by itself by adding/subtracting constants. 2. If we divide/multiply by a negative, switch our inequality sign. 3. Graph the final answer!
REVIEW: Solving Inequalities ­7x < 42
Always remember to graph it afterwards!
February 27, 2013
REVIEW: Solving Inequalities ­2x ­ 4x > 14
Always remember to graph it afterwards!
February 27, 2013
Linear Inequalities
Example:
1. y < 2x + 3
February 27, 2013
Example:
2. y > 2
Example:
3. 3x ­ 5y < 10 February 27, 2013
Must be checked off by me: 4. x > 3
5. y < ­3x + 1
6. ­2y < 8x ­6
Homework #19:
Graphing Inequalities WS
Chapter 7 Test March 8th!
(NEXT Friday)