Two Variable Equations and Inequalities Lesson Slides

4 Slides • 5 Questions

1

Lesson 17 Two Variable Linear Inequalities

TEKS 2A.3F and 3G

We will solve two variable linear inequalities.

I will summarize how to graphically solve and check solutions of two variable linear inequalities.

2

Poll

BELLRINGER- Solve the following Absolute Value Inequality:

$\left|2x-4\right|\le6$

Solution(s) is/are :

$-1\le x\le5$

$x\le-1\ or\ x\ge5$

$x\le5$

$x\ge-1$

3

Review:

4

Dropdown

The symbol > means the line will be

and the shading will be

the line.

5

Dropdown

The symbol

\le

means the line will be

and the shading will be

the line.

6

Slope tells us where to shade

Using the slope-intercept form of an equation (y=mx+b) we can determine where to shade based off the slope!

How to remember which slope is positive or negative on the graph:
Positive slope always starts in Quadrant I (+,+)
Negative slope always starts in Quadrant II (-,+)

7

Multiple Choice

Pick the graph below that displays a NEGATIVE linear slope.

1

2

3

4

8

Isolate the variable to one side of the inequality. Direction of the inequality determines where to shade!

Only x: shade left (</≤) or shade right (>/≥)
Only y: shade below (</≤) or shade above (>/≥)

Special Cases:

9

Dropdown

If you have, for example,

x>0

as your inequality, you would sketch the graph with a

line and shade

of the line.

Lesson 17 Two Variable Linear Inequalities

TEKS 2A.3F and 3G

We will solve two variable linear inequalities.

I will summarize how to graphically solve and check solutions of two variable linear inequalities.

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