AnswersAlgebra 2 - Semester 1 PathwaysTwo-Variable Linear Inequalities

Two-Variable Linear Inequalities Answers

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Which inequality represents the situation?

A
Option
B
Option
C
Option
D
Option
3

Which of the following graphs represents the inequality ?

Question illustration
A
Option
B
Option
C
Option
D
Option
4

Select all of the following statements that are true about the graph representing the boxes of cookies Mika can buy.

A
The boundary line representing combinations of cookies is solid.
B
The boundary line representing combinations of cookies has a negative slope.
C
The point (–1, 17) is a solution.
D
The point (0, 5) is a solution.
5

What is the inequality shown in the graph?

A
10x – y < 1
B
0.1x – y < 1
C
0.1x – y > 1
D
10x – y > 1
6

(0, 2)(–4, 0)(1, 2)(10, 7) is a solution to 4

A
(0, 2)
B
(–4, 0)
C
(1, 2)
D
(10, 7)
7

Select all of the following ordered pairs that are in the solution set of the inequality shown.

A
(–10, –10)
B
(0, 0)
C
(0, 10)
D
(10, 0)
E
(20, 0)
F
(100, 100)
9

Is the solution to a two-variable inequality always a solution of the related function? Explain.

Answer:

A solution to a two-variable inequality is not always a solution of the related function. The inequality may include points in the shaded region that are not on the boundary line. If the inequality includes “or equal to,” the boundary line is included, so it cannot be dashed and must be solid.

10

Compare your response to the sample response above. Did your explanation

A
say the solution is not always a solution of the related function?
B
mention the inequality including “or equal to”?
C
include that the boundary line cannot be dashed?
11

(0, –2)(0, 0)(0, –5)(6, –0.5) is a solution to 2

A
(0, –2)
B
(0, 0)
C
(0, –5)
D
(6, –0.5)

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