AnswersDRHS-GA-Algebra Concepts and Connections ASolving Systems of Linear Inequalities

Solving Systems of Linear Inequalities Answers

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

A
Option
B
Option
C
Option
D
Option
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

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
4

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
5

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
6

Which ordered pair makes both inequalities true? y x

Question illustration
A
(–3, 5)
B
(–2, 2)
C
(–1, –3)
D
(0, –1)
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 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)
9

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
10

Which ordered pairs are in the solution set of the system of linear inequalities?y > xy < x + 1

Question illustration
A
(5, –2), (3, 1), (–4, 2)
B
(5, –2), (3, –1), (4, –3)
C
(5, –2), (3, 1), (4, 2)
D
(5, –2), (–3, 1), (4, 2)

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