AnswersWV-Algebra I CRSolving Systems of Linear Inequalities

Solving Systems of Linear Inequalities Answers

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Which is the graph of the system x + 3y > –3 and y < x + 1?

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A
Option A
B
Option B
C
Option C
D
Option D
2
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3

Which system of inequalities with a solution point is represented by the graph?

A
y > 2x – 2 and y < x – 1; (3, 1)
Option A
B
y > 2x – 2 and y < x + 1; (–3, 1)
Option B
C
y > 2x + 2 and y < x – 1; (3, 1)
Option C
D
y > 2x + 2 and y < x + 1; (–3, 1)
Option D
4

Which equation represents an inequality in the system of inequalities shown in the graph? Which point is a solution to the system?

Answers:
Selection 1:y < 2x + 2
5

Which statements are true about the graph of y ≤ 3x + 1 and y ≥ –x + 2? Check all that apply.

A
The slope of one boundary line is 2.
B
Both boundary lines are solid.
C
A solution to the system is (1, 3).
D
Both inequalities are shaded below the boundary lines.
E
The boundary lines intersect.
6

Mr. Hernandez plotted the point (1, 1) on Han’s graph of y ≤ x + 2. He instructed Han to add a second inequality to the graph that would include the solution (1, 1).Which equation could Miguel write?

Question illustration
A
y > 2x + 1
B
y < 2x – 1
C
y ≥ 2x + 1
D
y ≤ 2x – 1

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