Algebra 1 Ch.7 Notes Page 41 P41 7­6   Systems of Linear Inequalities

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A17­6SystemsOfLinearInequalities.notebook
October 15, 2014
Algebra 1
Ch.7 Notes Page 41
P41 7­6 Systems of Linear Inequalities
Sep 2­8:31 AM
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A17­6SystemsOfLinearInequalities.notebook
October 15, 2014
Systems of Linear Inequalities
A system is two or more inequalities that are related.
A solution on a graph is the Region. Not a Point (Equations have a Point).
y > 2x ­ 3
and y > ­3x + 2
Jan 23­8:15 AM
2
A17­6SystemsOfLinearInequalities.notebook
October 15, 2014
Graphing Inequalities
y > 2x ­ 5
and 3x + 4y < 12
Feb 9­9:29 AM
3
A17­6SystemsOfLinearInequalities.notebook
October 15, 2014
Writing Systems from a Graph
Blue
Slope
Red
Slope
Y­Int.
Y­Int.
Line
Line
Shade
Shade
Feb 9­9:29 AM
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A17­6SystemsOfLinearInequalities.notebook
October 15, 2014
Animal Habitat
A zoo keeper wants to fence a rectangular habitat for tigers. The length of the habitat should be at least 80ft, and the distance around it should be no more than 280ft. What are the possible dimensions of the habitat?
x = width
y = length
Feb 9­9:29 AM
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A17­6SystemsOfLinearInequalities.notebook
October 15, 2014
Horizontal and Vertical Linear Inequalities
Same as Equations except, you have to shade one side of the line.
x = 2
Slope = ?
Line = ?
Vertical or Horizontal
y = ­3
Slope = ?
Line = ?
Vertical or Horizontal
Nov 10­3:11 PM
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A17­6SystemsOfLinearInequalities.notebook
October 15, 2014
Graphing Inequalities
x > 3
y < ­2
Nov 10­3:11 PM
7
A17­6SystemsOfLinearInequalities.notebook
October 15, 2014
Graphing Inequalities
x > ­5
y < 3
Nov 10­3:11 PM
8
A17­6SystemsOfLinearInequalities.notebook
October 15, 2014
HW #46
7­6 P414 #1,2,4­6,8,16,17,20,21,23,24a,43
Please put your name and class period at the top of the homework.
Also include the homework number.
Nov 10­3:12 PM
9
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