Quizizz Graphing Systems of Linear Inequalities Lesson

Graphing Systems of Linear Inequalities

Learning Outcomes:

1. Be able to graph a system of linear inequalities

2. Identify solutions to systems of linear inequalities by graphing

But first...

Let's review some previously learned skills that you can apply to this new concept.

Multiple Choice

Graphing Linear Equations: 

Equation $$y=4x-1$$  

Slope = 4 , y-intercept = -1

Multiple Choice

Systems of Equations:

What is the solution to this system?

• (1, -1)

• (-1, 1)

• (0, -2)

• (2, 0)

Multiple Choice

Graphing Linear Inequalities:

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

< is a dashed line, the solutions would be below it

• The line would be solid with shading above.

• The line would be dashed with shading above.

• The line would be solid with shading below.

• The line would be dashed with shading below.

Multiple Choice

Graphing Linear Inequalities:

Which point below is NOT a part of the solution set?

It is the only point that could not be in the shaded area when the coordinate plane extends infinitely in all directions

• (0, 0)

• (0, 1)

• (-100, -3)

• (5, 10)

What is a System of Linear Inequalities?

• A set of at least two linear inequalities in the same variables

• To solve a system, you need to find the variable values that will make each inequality true at the same time

We will start by graphing.

Multiple Select

To graph:

$$y<3x-2$$

Select all that apply.

• y-intercept = -2
  
  slope = 3

• solid line
  

• dotted line

• shade above

• shade below

Multiple Select

To graph:

$$y\ge x+1$$

Select all that apply.

• y-intercept = 1
  
  slope = 1

• solid line
  

• dotted line

• shade above

• shade below

Let's make them a system!

Graph both inequalities on the same coordinate plane

The solution is where the two graphs over lap

Multiple Choice

Where do you think the solution will be?

• Blue

• Purple

• Red

• White

• All of blue and all of red

Fill in the Blanks

Multiple Choice

Which of the following is a solution to the systems of inequalities?

Solutions are in the shaded area and on the lines if they are solid

Solutions are in the shaded area and not on the lines if they are dashed

• (-1, -3)

• (3, 0)

• (-2, 2)

• (4, 1)

Multiple Choice

Which of the following is a solution to the systems of inequalities?

Solutions are in the shaded area and on the lines if they are solid

Solutions are in the shaded area and not on the lines if they are dashed

• (0, 0)

• (1, 1)

• (-4, -2)

• (4, -2)

Multiple Choice

Which of the following is a solution to the systems of inequalities?

Solutions are in the shaded area and on the lines if they are solid

Solutions are in the shaded area and not on the lines if they are dashed

• (0, -2)

• (-3, 0)

• (-3, 2)

• (1, 1)

Multiple Choice

Which of the following is NOT a solution to the systems of inequalities?

Solutions are in the shaded area and on the lines if they are solid

Solutions are in the shaded area and not on the lines if they are dashed

• (0, 0)

• (3, -2)

• (3, -4)

• (4, -4)

Multiple Choice

Which of the following is a solution to the systems of inequalities?

Solutions are in the shaded area and on the lines if they are solid

Solutions are in the shaded area and not on the lines if they are dashed

• (0, 0)

• (-3, 0)

• (2, -5)

• (3, -1)