Solutions of Inequalities and System of Inequalities

Consists of two or more linear inequalities with the same variables

• Linear Equation

• System of Equations

• System of Inequalities

• Ineqaulity

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

• White

• Blue

• Purple

• Red

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

• (o,o)

• (2,2)

• (1,-3)

• (4,-1)

What happens to the inequality symbol when you multiply or divide by a negative?

• The symbol goes away

• The symbol stays the same

• The symbol is flipped

• Nothing Happens

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)

• Solution

• (5,6)

• Not a solution

• (2,-2)

• Not a solution

• (4, -5)

• Not a solution

• (2,3)

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

y ≥ −x ​

2x + y > 2

• Solution

• (2,3)

• Not a solution

• (4, -5)

• Not a solution

• (0,0)

• Solution

• (5,6)

• Not a solution

• (2,-2)

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

The ordered pair (a)   is in the solution set of 8x+16y>32.

• (-3, 5)

• (0, 2)

• (-1, 1)

• (4, 0)

An ordered pair that makes an inequality true

• Equation

• Solution

• Answer

• Point

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

• Solution Region

• Graph

• Quadrant

• Half Plane