Interval notation

Interval notation

where things are true and how you mark that

To ride some roller coasters you have to be a certain height.

• Red zone = too short no ride

• Yellow zone = still too short but if you are with your parents OK to ride

• Green zone = At this range of heights you can ride.

• If you are taller than the Green zone = too tall, no ride.

Notice

There are four descriptions

that means there are 4 intervals

too tall, t

OK - enjoy your ride

OK - must be with parent, p

too short, s

Now the math symbols.

• Take the time to read each row

• Notice connections

• The chart is color coded to help you find the connections

Multiple Choice

Why do I draw a closed circle when it's less than or equal to or greater than or equal to?

• Because we are INCLUDING that solution

• Because we are NOT INCLUDING that solution

Multiple Choice

When graphing an inequality solution, what type of circle do I draw for the symbol:

or ≤ or ≥

• Closed Circle

• Open CirCLe

Multiple Choice

When writing in interval notation, what kind of brackets do I use for:

or ≤ or ≥

• [ ]

• ( )

Multiple Choice

Why don't you use brackets for positive and negative infinity?

• Infinity is an idea/concept and not an actual number, so it can't be included

• False, we do in fact use closed parentheses/brackets for positive and negative infinity

• Huh?

• ???

Multiple Choice

Pick the correct letter for:
6 > x

• A

• B

• C

• D

Multiple Choice

When you graph an inequality, you use a closed dot when you use which symbols?

• ≤, ≥ 

• <, >

• ≤, <

• ≥, >

Multiple Choice

When graphing an inequality, you use an open dot when you use which symbol?

• <, >

• ≤, ≥

• >, ≥

• <, ≤

Multiple Choice

Which of the following numbers is not in the interval (3, 9]?

• 3

• 3.14

• 7

• 9

Multiple Choice

Can you use the symbols "[" or "]"

with infinity?

• Yes

• No

Multiple Choice

Look at the picture. Which graph best represents the solution set (-∞, -2) OR (5, ∞)?

• Graph 1

• Graph 2

• Graph 3

• Graph 4

Multiple Choice

Look at the picture. Which number line corresponds to [-2, 5]?

• Graph 1

• Graph 2

• Graph 3

• Graph 4

Multiple Choice

Look at the Graph. Write the inequality in interval notation.

• [-4, -1)

• (-4, -1)

• (-4, -1]

• [-4, -1]

Multiple Choice

Write the following in interval notation
 x < 8

• (8, ∞)

• (8, -∞)

• (-∞, 8)

• [-∞, 8]

Multiple Choice

Look at the graph. Write the inequality in interval notation.

• (-2,5)

• (-∞,-2)⋃(5,∞)

• [-2,5]

• (-∞,-2]OR[5,∞)

Multiple Choice

Express the following interval in Set notation:
[3, 5]

• 3 ≤ x ≤ 5

• 3 < x ≤ 5

• 3 ≤ x < 5

• 3 < x < 5

Multiple Choice

Express the following in Interval Notation
-9 < x ≤ -4

• [-9, -4]

• (-9,-4]

• [-9, -4]

• (-9,-4)

Multiple Choice

Express the following in Interval Notation
-8 ≤ x < 8

• [-8, 8]

• [-8,8)

• (-8, 8]

• (-8, 8)