1. Graphing Inequalities

2. Do Now 7 > 5 7 is greater than 5 18 < 23 -7 < -2
-19 > -23
0 < 6
7 is greater than 5
18 is less than 23
-7 is less than -2
-19 is greater than -23
0 is less than 6

3. Definitions > : Greater Than < : Less Than
Greater Than or Equal To
Less Than or Equal To
: Use open circle when graphing < or >
: Use closed circle when graphing < or >

4. Real World Applications
<
A car can drive ____ 55 mph.
>
You must be ____ 40 in.
to go on this ride

5. Equation vs Inequality
There is only one difference between an equation and an inequality:
Equation Inequality
= > < > <
A statement that asserts that two
mathematical expressions
are equal in value.
A statement that uses these symbols
to indicate that one quantity
is larger or smaller than another.

6. Graphing the Solution x > 8
1. Draw a number line. You will need a few numbers on either side of the solution number. 8 9 10 11 7 6 5
2. Decide if you need an open or a closed circle and place it on the solution number.
3. Determine which way your arrow goes by substituting a number in for the variable to make the statement true. Then draw the arrow pointing in that direction.

7. Graphing the Solution x < -6
1. Draw a number line. You will need a few numbers on either side of the solution number. -6 -5 -4 -3 -7 -8 -9
2. Decide if you need an open or a closed circle and place it on the solution number.
3. Determine which way your arrow goes by substituting a number in for the variable to make the statement true. Then draw the arrow pointing in that direction.

8. Which direction should the arrow go?
x >10 10 11 12 13 9 8 7
Open or Closed Circle?
Which direction should the arrow go?

9. When you have ≠, use an open dot and shade both ways!
What if x ≠ 2?
≠ : not equal to
When you have ≠, use an open dot and shade both ways! 2 3 4 5 1 -1

10. Independent Group Work
Complete the Graphing Inequalities Flip Book and
hand it in when you are finished.
I will be collecting it to check your work.
You will receive a blank copy to complete for homework.
It will become a great STUDY TOOL!