Systems of Inequalities Consistent and Inconsistent

Systems that have no solution when graphed

• Independent System

• Dependent System

• Inconsistent Systems

• Consistent Systems

• Solution Region

Systems that have at least one solution when graphed

• Independent System

• Dependent System

• Inconsistent Systems

• Consistent Systems

• Solution Region

The part of the coordinate plane in which the ordered pairs are solutions to all inequalities in a system

• Independent System

• Dependent System

• Inconsistent Systems

• Consistent Systems

• Solution Region

Systems that produce two distinct lines when graphed

• Independent System

• Dependent System

• Inconsistent Systems

• Consistent Systems

• Solution Region

Which system of inequalities is represented by this graph?

• y < -3x + 3 and y > -3x - 1

• y ≥ -3x + 3 and y ≤ -3x - 1

• y ≤ -3x + 3 and y ≥ -3x - 1

• y > -3x + 3 and y < -3x - 1

Which system of inequalities is described by this graph?

• y < x−2 
  y < 3

• y > -x+2
  y > 3

• y < -x+2
  y < 3

• y < -x+2
  y > 3

Which system of inequalities is represented by the graph?

• x≤-2
  y≤x-3

• y≤-2
  y≤x-3

• x≥-2
  y≤x-3

• y≥-2
  y≤x-3

When there is one or infinite solutions it is called

• Inconsistent system

• Consistent System

A system of equations with no ordered pair that satisfies both equations.

• consistent

• inconsistent

• elimination

• system of equations

Solve the system of inequalities:

y > x - 2

y < x

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