Linear Inequality in Two Variables

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

Justin charges RM11 to mow a small lawn and RM26 to mow a large lawn. He would like to make at least RM130.

Write an inequality that describes the situation.

Let x = # of small lawns mowed and

Let y = # of large lawns mowed

• 11x + 26y ≥ 130

• 11x + 26y > 130

• 11x + 26y ≤ 130

• 11x + 26y < 130

Aleris is sending a fancy organic fruit basket to her grandma for her birthday. Apples cost RM3 and oranges cost RM2. Aleris can spend no more than RM24 on the gift.

Write an inequality that describes the situation.

Let x = # of apples

Let y = # of oranges

• 3x + 2y < 24

• 3x + 2y ≤ 24

• 3x + 2y > 24

• 3x + 2y ≥ 24

Consider the function y<2x+3. Which is true?

• The line would be solid with shading above.

• The line would be dashed with shading above.

• The line would be solid with shading below.

• None of these.

Tags

CCSS.HSA.REI.D.12

Which color is the solution region to this system of inequaliteis?

• White

• Blue

• Purple

• Red

Tags

CCSS.HSA.REI.D.12

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

An ordered pair that makes an inequality true

• Equation

• Solution

• Answer

• Point

Two regions created on a graph when separated by a boundary line

• Quadrant

• Half - Plane

• Sides

• Solution

Tags

CCSS.HSA.REI.D.12

Inequality symbols that create a closed half - plane and all points on the line are included in the solution.

• 
• 
• 
• 

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