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

Solving Systems of Linear Inequalities Answers

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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.
2
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A
–12
B
–3
C
4
D
6
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 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
5

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

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

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)
10

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

A
Option
B
Option
C
Option
D
Option

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