AnswersAPSB 2025 Math Essentials-ALPGraphing Two-Variable Linear Inequalities

Graphing Two-Variable Linear Inequalities Answers

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7

Which is the graph of the linear inequality y < 3x + 1?

A
On a coordinate plane, a solid straight line has a positive slope and goes through (negative 1, negative 2) and (0, 1). Everything to the left of the line is shaded.
Option A
B
On a coordinate plane, a solid straight line has a positive slope and goes through (negative 1, negative 2) and (0, 1). Everything to the right of the line is shaded.
Option B
C
On a coordinate plane, a dashed straight line has a positive slope and goes through (negative 1, negative 2) and (0, 1). Everything to the left of the line is shaded.
Option C
D
On a coordinate plane, a dashed straight line has a positive slope and goes through (negative 1, negative 2) and (0, 1). Everything to the right of the line is shaded.
Option D
9

Which is the graph of the linear inequality 2x – 3y < 12?

A
Option
B
Option
C
Option
D
Option
11

On a coordinate plane, a solid straight line has a positive slope and goes through (negative 4, 0) and (0, 2). Everything to the right of the line is shaded.

Question illustration
A
y ≤ x + 2
Option A
B
y ≥ x + 2
Option B
C
y ≤ x + 2
Option C
D
y ≥ x + 2
Option D
12

On a coordinate plane, a solid straight line has a positive slope and goes through (negative 4, 1) and (0, 3). Everything below and to the right of the line is shaded.

Question illustration
A
y ≤ 2x + 4
B
y ≤ x + 3
Option B
C
y ≥ x + 3
Option C
D
y ≥ 2x + 3
13

Which is the graph of the linear inequality 2x – 3y < 12?

A
Option
B
Option
C
Option
D
Option
14

On a coordinate plane, a dashed straight line has a positive slope and goes through (negative 3, negative 7) and (0, 2). Everything to the left of the line is shaded.

Question illustration
A
y < 3x + 2
B
y > 3x + 2
C
y < x + 2
Option C
D
y > x + 2
Option D
15

Which is the graph of the linear inequality x – 2y > –6?

Question illustration
A
Option
B
Option
C
Option
D
Option
16

Which is the graph of the linear inequality y < 3x + 1?

A
On a coordinate plane, a solid straight line has a positive slope and goes through (negative 1, negative 2) and (0, 1). Everything to the left of the line is shaded.
Option A
B
On a coordinate plane, a solid straight line has a positive slope and goes through (negative 1, negative 2) and (0, 1). Everything to the right of the line is shaded.
Option B
C
On a coordinate plane, a dashed straight line has a positive slope and goes through (negative 1, negative 2) and (0, 1). Everything to the left of the line is shaded.
Option C
D
On a coordinate plane, a dashed straight line has a positive slope and goes through (negative 1, negative 2) and (0, 1). Everything to the right of the line is shaded.
Option D
17

Which is the graph of linear inequality 2y > x – 2?

A
Option
B
Option
C
Option
D
Option
18

On a coordinate plane, a solid straight line has a positive slope and goes through (0, negative 4) and (2, 0). Everything to the right of the line is shaded.

Question illustration
A
(−1, 1)
B
(1, −1)
C
(3, 2)
D
(2, 3)
19

On a coordinate plane, a solid straight line has a positive slope and goes through (0, negative 1) and (3, 0). Everything above and to the left of the line is shaded.

Question illustration
A
y ≤ x − 1
Option A
B
y ≥ x − 1
Option B
C
y < 3x − 1
D
y > 3x − 1

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