4/4 - Systems of Inequalities

​Remove Your
Hoodie

Put up ALL
headphones/ earbuds

Prepare to Relinquish your cellphone until the end of class.

Multiple Choice

Convert the following inequality to slope-intercept for and describe the line. (7 min)

$$3x-2y\le10$$

• $$y\ge\frac{3}{2}x-5$$

  solid, shaded above

• $$y\ge-\frac{3}{2}x-5$$

  dashed, shaded above

• $$y\le\frac{3}{2}x-5$$

  solid, shaded below

• $$y\le-\frac{3}{2}x-5$$

  dashed, shaded below

Type of Line to Draw

Inequality

Symbol

Type of Line

> or <

Dotted Line

> or <

Solid Line

​1 min

​Lesson Vocabulary

If the

inequality is:

Shade

y > mx + b

or

y > mx + b

Above the
y-intercept

y < mx + b

or

y < mx + b

Below the
y-intercept

​1 min

Multiple Select

Pick two options to describe the line below.

$$y\ge3x-2$$

• Solid

• Dashed

• Shade above the y-intercept

• Shade below the y-intercept

Multiple Select

Pick to options two describe the line below.

$$y<\frac{3}{2}x-2$$

• Solid

• Dashed

• Shade above the y-intercept

• Shade below the y-intercept

Learning Objective:

SWBAT graph systems of linear inequalities and determine reasonable solutions on a coordinate plane.

Demonstration of Learning:

Given 4 problems, I will be able to correctly graph systems of linear inequalities and determine the reasonable solution on a coordinate plane of at least 3 of 4 problems.

Systems of Linear Inequalities

​1 min

​1 min

You have 3 minutes to graph
y > x - 2
on your graph paper.

Lap 1
6 min

​y-int: ______

Slope: _____

Line: _____

Shade:_____

​6 min

​y > x - 2

​y-int: ______

Slope: _____

Line: _____

Shade:_____

Multiple Select

Select ALL the ordered pairs that are a solution to the system of inequalities. (Lap 2)

• (2,0)

• (0, 0)

• (4, 5)

• (-4, 3)

• (3, -3)

You have 6 minutes to graph the following system of inequalities. Verify your system with your partner.

​10 min

​{

You have 1 minute to write a solution on your whiteboard that would be a solution to the system of inequalities.

​Lap 3
5 min

Demonstration of Learning

31

Open Ended

Explain how to determine the solution to a system of linear inequalities from a graph.

Use complete sentences: The solution to system of inequalities can be determined by ....