AnswersMathematics IGraphing Two-Variable Linear Inequalities

Graphing Two-Variable Linear Inequalities — Quiz Answers

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1
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Which linear inequality is represented by the graph?

A
y is less than or equal to 1 third x plus 4
B
y is less than or equal to 1 third x minus 4
C
y is greater than or equal to 1 third x plus 4
D
y is greater than or equal to 1 third x minus 4
2
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Which is the graph of the linear inequality y is less than 3 x plus 1 ?

A
Image with description On a coordinate plane, a solid straight line has a positive slope and goes through (negative 1 comma negative 2) and (0 comma 1). Everything to the left of the line is shaded.
B
Image with description On a coordinate plane, a solid straight line has a positive slope and goes through (negative 1 comma negative 2) and (0 comma 1). Everything to the right of the line is shaded.
C
Image with description On a coordinate plane, a dashed straight line has a positive slope and goes through (negative 1 comma negative 2) and (0 comma 1). Everything to the left of the line is shaded.
D
Image with description On a coordinate plane, a dashed straight line has a positive slope and goes through (negative 1 comma negative 2) and (0 comma 1). Everything to the right of the line is shaded.
3

Which statements are true about the linear inequality y is greater than 3 fourths x minus 2 ? Choose three correct answers.

A
The graph of y is greater than 3 fourths x minus 2 is a dashed line.
B
The slope of the line is negative 2 .
C
One solution to the inequality is 0 comma 0 .
D
The area below the line is shaded.
E
The graph intersects the y -axis at 0 comma negative 2 .
4

Which is the graph of the linear inequality 2 y is greater than x minus 2 ?

A
Image with description On a coordinate plane, a dashed straight line has a positive slope and goes through (negative 4 comma negative 3), (0 comma negative 1), and (2 comma 0). Everything to the right of the line is shaded.
B
Image with description On a coordinate plane, a dashed straight line has a positive slope and goes through (negative 4 comma negative 3), (0 comma negative 1), and (2 comma 0). Everything to the left of the line is shaded.
C
Image with description On a coordinate plane, a solid straight line has a positive slope and goes through (negative 4 comma negative 3), (0 comma negative 1), and (2 comma 0). Everything to the left of the line is shaded.
D
Image with description On a coordinate plane, a solid straight line has a positive slope and goes through (negative 4 comma negative 3), (0 comma negative 1), and (2 comma 0). Everything to the right of the line is shaded.
5

Which is the graph of the linear inequality y is greater than or equal to negative x minus 3 ?

A
Image with description On a coordinate plane, a solid straight line has a negative slope and goes through (negative 3 comma 0) and (0 comma negative 3). Everything to the left of the line is shaded.
B
Image with description On a coordinate plane, a dashed straight line has a negative slope and goes through (negative 3 comma 0) and (0 comma negative 3). Everything to the left of the line is shaded.
C
Image with description On a coordinate plane, a dashed straight line has a negative slope and goes through (negative 3 comma 0) and (0 comma negative 3). Everything to the right of the line is shaded.
D
Image with description On a coordinate plane, a solid straight line has a negative slope and goes through (negative 3 comma 0) and (0 comma negative 3). Everything to the right of the line is shaded.
6

Which is the graph of the linear inequality 1 half x minus 2 y is greater than negative 6 ?

A
Image with description On a coordinate plane, a solid straight line has a positive slope and goes through (negative 4 comma 2) and (4 comma 4). Everything above and to the left of the line is shaded.
B
Image with description On a coordinate plane, a solid straight line has a positive slope and goes through (negative 4 comma 2) and (4 comma 4). Everything above and to the left of the line is shaded.
C
Image with description On a coordinate plane, a dashed straight line has a positive slope and goes through (negative 4 comma 2) and (4 comma 4). Everything below and to the right of the line is shaded.
D
Image with description On a coordinate plane, a solid straight line has a positive slope and goes through (negative 4 comma 2) and (4 comma 4). Everything above and to the left of the line is shaded.
7

Which is the graph of the linear inequality 2 x minus 3 y is less than 12 ?

A
Image with description On a coordinate plane, a dashed straight line has a positive slope and goes through (0 comma negative 4) and (3 comma negative 2). Everything to the right of the line is shaded.
B
Image with description On a coordinate plane, a dashed straight line has a positive slope and goes through (0 comma negative 4) and (3 comma negative 2). Everything to the left of the line is shaded.
C
Image with description On a coordinate plane, a solid straight line has a positive slope and goes through (0 comma negative 4) and (3 comma negative 2). Everything to the right of the line is shaded.
D
Image with description On a coordinate plane, a solid straight line has a positive slope and goes through (0 comma negative 4) and (3 comma negative 2). Everything to the left of the line is shaded.
8

Which points are solutions to the linear inequality y is less than 0 point 5 x plus 2 ? Choose three correct answers.

A
1 comma negative 2
B
negative 1 comma negative 2
C
negative 2 comma 1
D
negative 3 comma negative 2
E
negative 1 comma 2
10

Which linear inequality is represented by the graph?

A
y is greater than or equal to 1 half x plus 2
B
y is less than or equal to 1 third x plus 2
C
y is less than or equal to 1 half x plus 2
D
y is greater than or equal to 1 third x plus 2

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Graphing Two-Variable Linear Inequalities — Quiz…