Systems of Linear Inequalities
Graphing Systems
   of Inequalities
Which phrase describes this inequality?
y is LESS THAN 2x+3
y is GREATER THAN 2x+3
y > 2x + 3
Which phrase describes this inequality?
y is LESS THAN 2x+3
y is GREATER THAN 2x+3
y < 2x + 3
2
-2
4
-4
2
-2
4
-4
6
-6
What is this line's equation?
 y = 2x + 1
 y = ½x + 1
 y = x + 2
2
-2
4
-4
2
-2
4
-4
6
-6
The inequality is:
 y ≥ ½x + 1
 y > ½x + 1
 y ≤ ½x + 1
 y < ½x + 1
2
-2
4
-4
2
-2
4
-4
6
-6
y = ⅓x + 2
y = 3x - 2
y = 3x + 2
y = ⅓x - 2
Equation of the red line:
2
-2
4
-4
2
-2
4
-4
6
-6
y ≥ 3x - 2
y > 3x - 2
y ≤ 3x - 2
y < 3x - 2
red inequality:
2
-2
4
-4
2
-2
4
-4
6
-6
Which region
is shaded?
click the
correct
paint can
.
.
.
.
2
-2
4
-4
2
-2
4
-4
6
-6
Equation of the Purple Line:
y = -3x + 4
y = -3x - 4
y =  ¼x - 3
y = -¼x - 3
2
-2
4
-4
2
-2
4
-4
6
-6
Purple inequality:
y ≤  ¼x - 3
y >  ¼x - 3
y <  ¼x - 3
y ≥  ¼x - 3
2
-2
4
-4
2
-2
4
-4
6
-6
Green line equation:
8x - 6y = 24
8x + 6y = 24
6x - 8y = 24
6x + 8y = 24
2
-2
4
-4
2
-2
4
-4
6
-6
Green line inequality:
6x + 8y ≥ 24
6x + 8y > 24
6x + 8y ≤ 24
6x + 8y < 24
2
-2
4
-4
2
-2
4
-4
6
-6
Click the correct        to
show were to shade the
solution set of this
system of inequalities

.
.
.
.
Equation of the Purple Line
y = 1
x = 1
Purple Inequality
y ≥ 1
y > 1
y < 1
y ≤ 1
Equation of the Tan Line
y = 1/2x + 1
y = -1/2x + 1
y = -2x + 1
Tan Inequality
y ≥ -1/2x + 1
y < -1/2x + 1
y ≤ -1/2x + 1
y > -1/2x + 1
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Identify the solution region.
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