AnswersAPSB 2025 Math Essentials-ALPGraphing Two-Variable Linear Inequalities

Graphing Two-Variable Linear Inequalities Answers

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What did you include in your response? Check all that apply.

A
dashed line
B
half plane
C
positive slope
D
origin
E
shading above the line
76177

Which inequality is represented by the graph?

Answers:
Selection 1:y > 2x + (3/4)
Selection 2:(2, 5)
76178

(–2, –4)(–1, –2)(1, 2)✔ (2, 5)

A
(–2, –4)
B
(–1, –2)
C
(1, 2)
D
✔ (2, 5)
76179

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
76180

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
76181

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
76182

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
76183

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
76184

Describe the graph of y > mx, where m > 0.

Answer:

The graph of y > mx, where m > 0, is a dashed line passing through the origin (0,0) with a positive slope. The region above the line is shaded to represent the solution set, while the line itself is dashed because the inequality does not include the equal sign.

76185

Which inequality is represented by the graph?

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

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