AnswersAL-Algebra I with Probability Critical StandardsModeling with Two-Variable Linear Inequalities

Solving Systems of Linear Inequalities Answers

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1
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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
2
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Which graph shows the solution to the system of linear inequalities?y > x + 3y ≤ x + 2

Question illustration
A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
3

On a coordinate plane, 2 straight lines are shown. The first solid line has a positive slope and goes through (0, 3) and (3, 4). Everything above the line is shaded. The second dashed line has a positive slope and goes through (0, negative 2) and (1, 1). Everything to the right of the line is shaded.

Question illustration
A
y > x + 3 and 3x – y > 2
Option A
B
y > x + 3 and 3x – y > 2
Option B
C
y > x + 3 and 3x + y > 2
Option C
D
y > x + 3 and 2x – y > 2
Option D
4

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
5

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
6

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

Question illustration
A
(0,0)
B
(0,–1)
C
(1,1)
D
(3,0)
7

Which ordered pair makes both inequalities true? y x

Question illustration
A
(–3, 5)
B
(–2, 2)
C
(–1, –3)
D
(0, –1)
8

Which graph shows the solution to the system of linear inequalities?x – 4y < 4y < x + 1

A
Option
B
Option
C
Option
D
Option
9

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

A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
10

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
11

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
12

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
13

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

Question illustration
A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
14

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

A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
15

Question text not available

Question illustration
A
y > x – 2 and y < x + 1
B
y x + 1
C
y x + 1
D
y > x – 2 and y < x + 1
16

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)
17

Which graph shows the solution to the system of linear inequalities?x – 4y < 4y < x + 1

A
Option
B
Option
C
Option
D
Option
18

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

Question illustration
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.
19

Which ordered pair makes both inequalities true? y x

Question illustration
A
(–3, 5)
B
(–2, 2)
C
(–1, –3)
D
(0, –1)
20

On a coordinate plane, 2 straight lines are shown. The first solid line has a positive slope and goes through (0, 3) and (3, 4). Everything above the line is shaded. The second dashed line has a positive slope and goes through (0, negative 2) and (1, 1). Everything to the right of the line is shaded.

Question illustration
A
y > x + 3 and 3x – y > 2
Option A
B
y > x + 3 and 3x – y > 2
Option B
C
y > x + 3 and 3x + y > 2
Option C
D
y > x + 3 and 2x – y > 2
Option D

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