Systems of Inequalities Vocabulary

• Dependent System

• Inconsistent System

• Consistent System

• Irregular System

Consists of two or more linear inequalities with the same variables.

• system of linear inequalities

• linear system

• coincident lines

• solution region

Represents ALL solutions of a system; part of the coordinate plane; ordered pairs in this area are solutions to the inequalities in the system.

• boundary line

• parallel line

• consistent systems

• solution region

Select the correct graph for each inequality.

• A

• B

• C

• D

• A

• B

• C

• D

Justin wants to make some chocolate milk using whole milk and chocolate syrup. He wanted his chocolate milk to have less than 10 grams of fat and less than 30 grams of sugar. The first mixture was on the amount of fat. He combined x ounces of whole milk containing 1 gram of fat per ounce with y ounces of chocolate syrup containing 0.34 grams of fat per ounce. The second mixture was focused on sugar and consisted of x ounces of whole milk containing 1.4 grams of sugar per ounce and y ounces of chocolate syrup containing 16 grams of sugar per ounce. Use the dropdowns to write a system of inequalities to represent the constraints of this situation. x + 0.34y ​ (a)   1.4x + 16y ​ (b)  

• < 10

• < 30

• > 10

• >30

Which is a solution to the system of inequalities?

• (4, -2)

• (4, 6)

• (-4, 2)

• (6, -2)

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

What is the boundary line (symbol) of the graph?

• less than

• less than or equal to 

• greater than 

• greater than or equal to 

Consists of at least two linear inequalities in the same variables . Given the inequaility, the lines are either dashed or solid and the region iis shaeded above or below the line.

• Literal Equation

• Inequality

• Graph of a System of Linear Inequalities in two variables

• Solution of a system of Linear Inequalities