Constraints Systems of Inequalities

Which coordinate point is a solution to the system of inequalities?

• (o,o)

• (2,2)

• (1,-3)

• (4,-1)

Tags

CCSS.HSA.REI.D.12

Consists of two or more linear inequalities with the same variables

• Linear Equation

• System of Equations

• System of Inequalities

• Ineqaulity

Part of the coordinate plane in which the ordered pairs are solutions to all inequalities in the system

• Solution Region

• Graph

• Quadrant

• Half Plane

Tags

CCSS.HSA.REI.D.12

Restriction on the value of a variable or the value of an expression involving one or more variables

• Constraint

• Viablility

• Viable

• Nonviable

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

Tags

CCSS.HSA.REI.D.12

Determine whether each ordered pair is a solution or not a solution to this system of inequalities.

y ≥ −x ​

2x + y > 2

(5,6) is (a)  

(-2,-3) is (b)  

• a solution

• not a solution

Determine whether each ordered pair is a solution or not a solution to this system of inequalities.

y≥−x ​

2x+y>2

• Solution

• (0,0)

• Not a solution

• (4, -5)

• Not a solution

• (5,6)

• Solution

• (2,-2)

• Not a solution

• (2,3)

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

Tags

CCSS.HSA.REI.D.12

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

Tags

CCSS.HSA.REI.D.12

Which system of inequalities matches this graph?

• y≥-2x+3
  y≤x-3

• y>2x+3
  y≥x-3

• y>-2x+3
  y≥x-3

• y<-2x+3
  y≤x-3

Tags

CCSS.HSA.REI.D.12