Creating Linear Inequalities in Two Variables

Diagram 2 shows two straight lines on a Cartesian plane. Which of the following regions define linear inequalities y ≤ x + 5 and y ≥ 2 − x?

• I

• II

• III

• IV

Write the inequalities

• x≤-2
  y≤x-3

• y≤-2
  y≤x-3

• x≥-2
  y≤x-3

• y≥-2
  y≤x-3

Identify the two inequalities that represents the graph.

• y > ½x - 3

• y ≤ -4x + 2

• y < ½x - 3

• y ≥ -4x + 2

Identify the graph represented by the following system of inequalities.

2x - y > 4

4x + 2y < 6

• 
• 
• 

The diagram shows a shaded region that satisfies three inequalities. State an inequality other than x < 4 and y ≥ −x.

• x ≤ o

• x ≥ 0

• y ≤ 0

• y ≥ 0

Which of the following graphs represent the inequality

x + y ≤ 5 ?

• 
• 
• 
• 

• A

• B

• C

• D

If the inequality symbol is ≤ or ≥, the line will be ___________.

• solid

• dotted

Which point below is NOT part of the solution set?

• (0,0)

• (-10,20)

• (3,5)

• (3,0)

Is the point (1, 2) a solution for the following inequality?

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

• No, it is located in the shaded region.

• Yes, it is located in the shaded region.

• Yes, it is located on the line.