AnswersDRHS-GA-Algebra Concepts and Connections AGraphing Two-Variable Linear Inequalities

Graphing Two-Variable Linear Inequalities Answers

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

A
Option
B
Option
C
Option
D
Option
3

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

A
Option
B
Option
C
Option
D
Option
4

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

Question illustration
A
Option
B
Option
C
Option
D
Option
5

On a coordinate plane, a solid straight line has a positive slope and goes through (negative 3, negative 5) and (0, negative 4). Everything to the right of the line is shaded.

Question illustration
A
y ≥ x – 4
Option A
B
y ≤ x – 4
Option B
C
y ≤ x + 4
Option C
D
y ≥ x + 4
Option D
6

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)
8

Which is the graph of the linear inequality y ≥ −x − 3?

A
On a coordinate plane, a solid straight line has a negative slope and goes through (negative 3, 0) and (0, negative 3). Everything to the right of the line is shaded.
Option A
B
On a coordinate plane, a solid straight line has a negative slope and goes through (negative 3, 0) and (0, negative 3). Everything to the left of the line is shaded.
Option B
C
On a coordinate plane, a dashed straight line has a negative slope and goes through (negative 3, 0) and (0, negative 3). Everything to the right of the line is shaded.
Option C
D
On a coordinate plane, a dashed straight line has a negative slope and goes through (negative 3, 0) and (0, negative 3). Everything to the left of the line is shaded.
Option D
10

Which statements are true about the linear inequality y > x – 2? Select three options.The slope of the line is –2.The graph of y > x – 2 is a dashed line.The area below the line is shaded.One solution to the inequality is (0, 0).The graph intercepts the y-axis at (0, –2).

Question illustration
A
The slope of the line is –2.
B
The graph of y > x – 2 is a dashed line.
Option B
C
The area below the line is shaded.
D
One solution to the inequality is (0, 0).
E
The graph intercepts the y-axis at (0, –2).

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