AnswersTN-Algebra I A SC 26-27 Elective FocusModeling with Systems of Linear Equations

Solving Systems of Linear Inequalities Answers

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Which graph shows the solution to the system of linear inequalities?y > x + 3y ≤ x + 2

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Option
Option A
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Option
Option B
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Option
Option C
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Option
Option D
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Which graph shows the solution to the system of linear inequalities?y ≥ 2x + 1y ≤ 2x – 2

A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
3

Which ordered pair makes both inequalities true?y > –3x + 3y > 2x – 2

Question illustration
A
(1,0)
B
(–1,1)
C
(2,2)
D
(0,3)
4

Which graph shows the solution to the system of linear inequalities?y –3x + 1

A
On a coordinate plane, 2 straight lines are shown. The first solid line has a negative slope and goes through (0, 1) and (1, negative 2). Everything to the right of the line is shaded. The second dashed line has a positive slope and goes through (0, negative 5) and (2, negative 1). Everything to the right of the line is shaded.
Option A
B
On a coordinate plane, 2 straight lines are shown. The first dashed line has a negative slope and goes through (0, 1) and (1, negative 2). Everything to the right of the line is shaded. The second solid line has a positive slope and goes through (0, negative 5) and (2, negative 1). Everything to the right of the line is shaded.
Option B
C
On a coordinate plane, 2 straight lines are shown. The first solid line has a negative slope and goes through (0, 1) and (1, negative 2). Everything to the left of the line is shaded. The second dashed line has a positive slope and goes through (0, negative 5) and (2, negative 1). Everything to the left of the line is shaded.
Option C
D
On a coordinate plane, 2 straight lines are shown. The first dashed line has a negative slope and goes through (0, 1) and (1, negative 2). Everything to the left of the line is shaded. The second solid line has a positive slope and goes through (0, negative 5) and (2, negative 1). Everything to the left of the line is shaded.
Option D
5

Which graph shows the solution to the system of linear inequalities?x + 3y > 6y ≥ 2x + 4

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Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
6

Which is true about the solution to the system of inequalities shown?y < x – 1y < x – 3

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A
All values that satisfy y < x – 1 are solutions.
Option A
B
All values that satisfy y < x – 3 are solutions.
Option B
C
All values that satisfy either y < x – 1 or y < x – 3 are solutions.
Option C
D
There are no solutions.
7

Which system of linear inequalities has the point (3, –2) in its solution set?

A
y less-than negative 3. y less-than-or-equal-to two-thirds x minus 4
Option A
B
y greater-than negative 3. y greater-than-or-equal-to two-thirds x minus 4
Option B
C
y less-than negative 3. y greater-than-or-equal-to two-thirds x minus 4
Option C
D
y greater-than negative 2. y less-than-or-equal-to two-thirds x minus 4
Option D
8

Which graph shows the solution to the system of linear inequalities?

Question illustration
A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
9

[BLANK]

A
–12
B
–3
C
4
D
6

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