Graphing Systems of Inequalities

​https://app.edulastic.com/author/tests/verid/6391e445228888000894fd7c

Multiple Choice

What is the equation of the graph?

• $$y>2x+1$$  

• $$y>\frac{1}{2}x+1$$  

• $$y<2x+1$$  

• $$y<\frac{1}{2}x+1$$  

Multiple Choice

What is the equation of the graph?

• $$y<2x-4$$  

• $$y<\frac{1}{2}x-4$$  

• $$y>2x-4$$  

• $$y>\frac{1}{2}x-4$$  

​Systems of Inequalities

• ​Graphing systems of inequalities is simply placing two inequalities on the same graph.

• ​The solution is where the shaded areas overlap

• ​If you can graph one inequality, you can graph two of them on the same graph!

Multiple Choice

A solution to system of inequalities will...

• satisfy both inequalities

• satisfy at least one inequality

• not satisfy either inequality.

• Satisfy means make it a true statement.

  4>3 is a true statement.

Multiple Choice

Is (0,0) a solution to this system of inequalities?

$$y>-x+2$$  

$$y<-5x+2$$  

• yes

• no

• no solution

Multiple Choice

Is (1,1) a solution to this system of inequalities?

$$5x+1>y$$  

$$3x-6y\le6$$  

• yes

• no

• no solution

Multiple Choice

Solve the system of inequalities by graphing.

Multiple Choice

Which system of inequalities matches the graph?

• y > 2x - 4 y < 2

• y < 2x - 4 y < 2

• y > 2x - 4 y <  2 

• y < 2x - 4 y <   -2

Multiple Choice

Solve the system of inequalities by graphing.