Interval notation

Presentation

•

Mathematics

•

7th - 12th Grade

•

Medium

•

CCSS

6.EE.B.8, 7.NS.A.2D, 8.NS.A.1

Standards-aligned

Susan Budde

Used 38+ times

FREE Resource

8 Slides • 17 Questions

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

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]?

3.14

Multiple Choice

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

with infinity?

Yes

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)

Interval notation

where things are true and how you mark that

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