Graphing Linear Inequalities in Two Variables

Determine whether point A is a solution to the linear inequality that is shown.

• Yes, because it is on the line.

• No, because it is on the line.

• Maybe, but it depends on what the inequality is.

• Maybe not, but it depends on what the inequality is.

Which of the following is NOT A SOLUTION to the inequality x+3y<6?

• (2,3)

• (1,1)

• (4,0)

• (-2,-1)

Which of the following is/are the solution/s of the inequality 2x – 3y ≥ 6?

• Point A only

• Points A and B only

• Points B, C and D only

• Points C and D only

Is the point (3, 1) a solution for the following inequality?

• Yes because it is located in the shaded region.

• No because it is located on the line and the line is dotted.

• Yes because it is located on the line.

• No because it is in the shaded region.

Which of the following is/are solution to the inequality x + 3y ≤ 6?

• Point D only

• Points C and D

• Points A and B

• Points A, B and C

Which of the following is a graph of a system of linear inequalities in two variables?

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Tags

CCSS.HSA.REI.D.12

If the boundary line of the graph of linear inequality is a broken line, are the points on the line part of the solution set?

• Yes

• No

• Maybe

Tags

CCSS.HSA.REI.D.12

If the inequality used is ≥ or ≤, what boundary line is needed for the graph?

• broken line

• solid line

• shaded half-plane

Tags

CCSS.HSA.REI.D.12

Which of the following is the graph of 4x+2y>4?

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Tags

CCSS.HSA.REI.D.12