

Introduction to Linear Inequalities
Presentation
•
Mathematics
•
9th - 10th Grade
•
Hard
Joseph Anderson
FREE Resource
10 Slides • 22 Questions
1
Graphing Linear Inequalities

2
Let's Review Inequalities!
< > ≤ ≥
3
Inequality Vocabulary
Greater Than >
Greater Than or Equal to ≥
Less Than or Equal to
4
Multiple Choice
Match the Inequality symbol:
At least
<
>
≤
≥
5
Multiple Choice
Match the Inequality symbol:
No More Than
<
>
≤
≥
6
Multiple Choice
Match the Inequality symbol:
Fewer Than
<
>
≤
≥
7
Multiple Choice
Match the Inequality symbol:
more than
<
>
≤
≥
8
Graphing Inequalities on a Number Line
9
Multiple Choice
10
Multiple Choice
Match the graph with its inequality.
a > 11
a < 11
a ≥ 11
a ≤ 11
11
Multiple Choice
12
Graphing Linear Inequalities
y > 2x - 3 is to the right.
The inequality symbol affects if we shade above or below the line. All of the shaded area are solutions!
The symbol also affects if the line is dashed or solid. Dashed lines are not included in the solutions, but solid lines are included.
13
Graphing Linear Inequalities
14
Multiple Choice
Which inequality symbol matches this graph?
(Click on the picture to make it larger - check for solid/dashed and shaded above or below)
Less Than <
Less Than or Equal To ≤
Greater Than >
Greater Than or Equal to ≥
15
Multiple Choice
Which inequality symbol matches this graph?
(Click on the picture to make it larger - check for solid/dashed and shaded above or below)
Less Than <
Less Than or Equal To ≤
Greater Than >
Greater Than or Equal to ≥
16
Multiple Choice
Which inequality symbol matches this graph?
(Click on the picture to make it larger - check for solid/dashed and shaded above or below)
Less Than <
Less Than or Equal To ≤
Greater Than >
Greater Than or Equal to ≥
17
Multiple Choice
Which inequality symbol matches this graph?
(Click on the picture to make it larger - check for solid/dashed and shaded above or below)
Less Than <
Less Than or Equal To ≤
Greater Than >
Greater Than or Equal to ≥
18
Multiple Choice
Which inequality symbol matches this graph?
(Click on the picture to make it larger - check for solid/dashed and shaded above or below)
Less Than <
Less Than or Equal To ≤
Greater Than >
Greater Than or Equal to ≥
19
Multiple Choice
Which inequality symbol matches this graph?
(Click on the picture to make it larger - check for solid/dashed and shaded above or below)
Less Than <
Less Than or Equal To ≤
Greater Than >
Greater Than or Equal to ≥
20
Graphing Inequalities in Slope-Intercept Form
The graph of y<32x−4 is shown to the right.
Less than (<) means dashed line, shaded below.
Use the slope (2/3) and y-intercept (-4) to see how the inequality matches the graph.
21
Multiple Choice
Match the graph to the inequality. (Click on the picture to make it larger)
y < -2x + 3
y > -2x + 3
y ≤ -2x + 3
y ≥ -2x + 3
22
Multiple Choice
Match the graph to the inequality. (Click on the picture to make it larger)
y < -4
y > -4
y ≤ -4
y ≥ -4
23
Multiple Choice
Match the graph to the inequality. (Click on the picture to make it larger)
y < 2x - 5
y > 2x - 5
y ≤ 2x - 5
y ≥ 2x - 5
24
Multiple Choice
How would you graph the following linear inequality?
Dashed line, shade above
Dashed line, shade below
Solid line, shade above
Solid line, shade below
25
Multiple Choice
Which graph best represents the following inequality?
26
Inequalities and Desmos!
Just like with regular lines, you can graph linear inequalities in Desmos. The symbols are in the keyboard! (See image on next slide)
This is helpful for any inequality, even those that are not in slope-intercept.
27
28
Multiple Choice
What graph matches this inequality? (Hint: Use desmos!)
29
Multiple Choice
What graph matches this inequality? (Hint: Use desmos!)
30
Multiple Choice
What inequality matches the graph? (Hint: Use desmos!)
31
Multiple Choice
What inequality matches the graph? (Hint: Use desmos!)
32
The end!
We will discuss more about inequlaities and their solutions after Spring Break :)
Graphing Linear Inequalities

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