Graphing Two-Variable Linear Inequalities

Question 1

Which system of inequalities with a solution point is represented by the graph?y > 2x – 2 and y < x – 1; (3, 1)y > 2x – 2 and y < x + 1; (–3, 1)y > 2x + 2 and y < x – 1; (3, 1)y > 2x + 2 and y < x + 1; (–3, 1)

Revolt · Accepted Answer

A: y > 2x – 2 and y < x – 1; (3, 1)

Question 2

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Revolt · Accepted Answer

B: y > –2x – 1

Question 3

Which statements are true about the graph of y ≤ 3x + 1 and y ≥ –x + 2? Check all that apply.The slope of one boundary line is 2.Both boundary lines are solid.A solution to the system is (1, 3).Both inequalities are shaded below the boundary lines.The boundary lines intersect.

Revolt · Accepted Answer

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Question 4

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?y > 2x + 1y < 2x – 1y ≥ 2x + 1y ≤ 2x – 1

Revolt · Accepted Answer

D: y ≤ 2x – 1

Question 5

Which ordered pairs make both inequalities true? Check all that apply.(–2, 2)(0, 0)(1,1)(1, 3)(2, 2)

Revolt · Accepted Answer

A: (–2, 2); B: (0, 0)

Question 6

Question 6

Revolt · Accepted Answer

C: lies in the shaded regions of both the top and bottom inequalities.

Question 7

Which linear inequality will not have a shared solution set with the graphed linear inequality?y < x – 2y < x + 1y > x + 2y > x + 2

Revolt · Accepted Answer

C: y > x + 2

Question 8

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

Revolt · Accepted Answer

B: (–1, –2); C: (1, 4)

Graphing Two-Variable Linear Inequalities Answers

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