AnswersAPSB 2025 Math Essentials-ALPGraphing Two-Variable Linear Inequalities

Graphing Two-Variable Linear Inequalities Answers

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Which linear inequality could represent the given table of values?

A
y < –2x + 3
Option A
B
y ≤ –2x + 3
Option B
C
y > –x – 3
Option C
D
y ≤ –x – 3
Option D
2
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(–2, –4)(–1, –2)(1, 2)✔ (2, 5)

A
(–2, –4)
B
(–1, –2)
C
(1, 2)
D
✔ (2, 5)
4

Which point is a solution to the inequality?

A
(–2, 1)
Option A
B
(–1, 1)
Option B
C
(0, )
Option C
D
(3, )
Option D
5

Which statements are true about the graph of y < x + 1? Check all that apply.The slope of the line is 1.The line is solid.The area below the line is shaded.A solution to the inequality is (2, 3).The x-intercept of the boundary line is (, 0).

Question illustration
A
The slope of the line is 1.
B
The line is solid.
C
The area below the line is shaded.
D
A solution to the inequality is (2, 3).
E
The x-intercept of the boundary line is (, 0).
Option E
6

Which is the graph of 2x + 3y > –3?

A
[Image: On a coordinate plane, a dashed straight line with...]
Option A
B
[Image: On a coordinate plane, a dashed straight line with...]
Option B
C
[Image: On a coordinate plane, a dashed straight line with...]
Option C
D
[Image: On a coordinate plane, a dashed straight line with...]
Option D
7

Which is the graph of 2x – 4y > 6?

A
[Image: On a coordinate plane, a dashed straight line with...]
Option A
B
[Image: On a coordinate plane, a dashed straight line with...]
Option B
C
[Image: On a coordinate plane, a dashed straight line with...]
Option C
D
[Image: On a coordinate plane, a dashed straight line with...]
Option D
8

Which inequality is represented by the graph?

A
y > x + 1
Option A
B
y < x + 1
Option B
C
y < x + 1
Option C
D
y > x + 1
Option D
9

Which inequality is represented by the graph?

Answers:
Selection 1:y > 2x + (3/4)
Selection 2:(2, 5)
10

Which inequality is represented by the graph?

Answers:
Selection 1:y > 2x + (3/4)
Selection 2:(2, 5)
11

Which equations might Miguel write? Check all that apply.

A
y < 2x – 1
B
y ≤ 2x – 4
C
y > 2x – 4
D
y < 2x + 4
E
y < 3.5x – 4
F
y < 4x – 4

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Graphing Two-Variable Linear Inequalities…