graphing linear inequalities. summary: on solving linear systems (graphing, substitution,...
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Graphing Linear Inequalities
Summary: On Solving Linear Systems
(Graphing, Substitution, Elimination Methods)Graphing:
Substitution
Elimination
y = ½x + 1
y = -⅔x
y = 2x - 3y = -3x + 2
y = -½x + 1
y = -5x -1
1.) 2.) 3.)
2x + y = 8y = x - 7
y = 3x - 6 -3x + y = -6
y = x + 4y = 3x
1.) 2.) 3.)
x + 2y = 73x - 2y = 1
8x - 9y = 194x + y = -7
4x - 3y = 113x - 5y = -11
1.) 2.) 3.)
Graphing linear equation
y = 2x-3
Example 1
Graphing linear INEQUALITY
y < 2x-3
Example 2
Your Turn!
y < x-1
Graphing linear INEQUALITY
y ≥ 2x-3 Text
Example 3
System of Linear
Equations
Two or more linear equations together form a system of linear equations.
y ≥ x-1(2,1)
Your Turn!
System of Linear
INEQUALITIES
Two or more linear inequalities together form a system of linear inequalities.
y > 2x-3y < x-1
(2,1)
Example 4
y < 2x-3y > x-1
(2,1)
System of Linear
INEQUALITIES
Two or more linear inequalities together form a system of linear inequalities.
Example 5
Your Turn!
y > x+5
y ≤ -4x(-1,4)
Your Turn!
y < x+5
y ≥ -4x(-1,4)
Your Turn again!
y > -½x + 2
y ≥ -3x - 3
(-2,3)
Your Turn again!
y > -½x + 2
y ≥ -3x - 3
(-2,3)
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