Systems of Inequalities Introduction

Which system of inequalities is shown?

• y ≥ -x - 1
  y < x + 4

• y < -x - 1
   y ≥ x + 4

• y > -x - 1
  y ≥ x + 4

• y > -x - 1
  y ≥ x + 3

Which of the following is not a solution to this system of inequalities?

• (0,-1)

• (0,3)

• (4,0)

• (6,-2)

Select the correct graph for each inequality.

• A

• B

• C

• D

Solve the system of inequalities by graphing.

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• 
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• (1,3)

• (2,1)

• (3,4)

• (6,2)

Are the points on the boundary line part of the solution set or not?

• Yes, they are part of the solution set

• No, they are NOT part of the solution set

Consists of two or more linear inequalities with the same variables

• Linear Equation

• System of Equations

• System of Inequalities

• Ineqaulity

If a systems of linear inequalities with 2 equations has no solution which of the following must be true?

• The Lines are Parallel

• The Lines are Perpendicular

• Both Lines are Less than y

• Both Lines are Greater than y

• One Line is Greater than y and One Line is Less than y

Solve the system of inequalities by graphing.

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• 
• 
• 

Tell whether the ordered pair 
(-3, 0) is a solution of the given system.
y ≤ x + 4
y ≥ 2x - 6

• Yes

• No