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Interval Notation

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Page 1: Interval Notation. Greater than /Less than Set Notation Interval Notation Greater than /Less than or equal to Set Notation Interval Notation

Interval Notation

Page 2: Interval Notation. Greater than /Less than Set Notation Interval Notation Greater than /Less than or equal to Set Notation Interval Notation

Greater than /Less than

Set Notation

Interval Notation

Greater than /Less thanor equal to or equal to

Set Notation

Interval Notation

Page 3: Interval Notation. Greater than /Less than Set Notation Interval Notation Greater than /Less than or equal to Set Notation Interval Notation

3 7 2 0

1 200 23 41

4 3

x x

x x

x x

Write in Interval Notation

Page 4: Interval Notation. Greater than /Less than Set Notation Interval Notation Greater than /Less than or equal to Set Notation Interval Notation

Write in Set Notation

(7,12) [ 1,5)

[63,95] (-21, -4]

(- ,16] (9, )

Page 5: Interval Notation. Greater than /Less than Set Notation Interval Notation Greater than /Less than or equal to Set Notation Interval Notation

PRACTICE:

3 7x

5 8x 2 12x 7 10x

6x17x

3x 4x

Write in Interval Notation.

Page 6: Interval Notation. Greater than /Less than Set Notation Interval Notation Greater than /Less than or equal to Set Notation Interval Notation

Write in Inequality Notation.

•(3, 6)•[-2, 1)•[4, 72]

•(-2, 5]

( ,3]

•[ 7, )

•( ,8)

(4, )

Page 7: Interval Notation. Greater than /Less than Set Notation Interval Notation Greater than /Less than or equal to Set Notation Interval Notation

x

y

Find where the function is Increasing / Decreasing.Find the maximum(s) and minimum(s)

Page 8: Interval Notation. Greater than /Less than Set Notation Interval Notation Greater than /Less than or equal to Set Notation Interval Notation

Solving inequalities:

Two things to Remember:

Change the symbol if MULT. OR DIVIDE by a negative.

ex. #56 2 – 3 x 5

Page 9: Interval Notation. Greater than /Less than Set Notation Interval Notation Greater than /Less than or equal to Set Notation Interval Notation

Two things to Remember:

If given a choice, move the smaller variable. Why?

ex. #60 2 x–2 3 + x

Page 10: Interval Notation. Greater than /Less than Set Notation Interval Notation Greater than /Less than or equal to Set Notation Interval Notation

F P S O D

8 4(3 ) 2x x

23 6

x x

Page 11: Interval Notation. Greater than /Less than Set Notation Interval Notation Greater than /Less than or equal to Set Notation Interval Notation

Careful!! An exception .?.?.

13 4 ( 2)

3x x

Page 12: Interval Notation. Greater than /Less than Set Notation Interval Notation Greater than /Less than or equal to Set Notation Interval Notation

1 1 4

3 2 3

x

3 3 2 9x

Page 13: Interval Notation. Greater than /Less than Set Notation Interval Notation Greater than /Less than or equal to Set Notation Interval Notation

Assignment:

P. 1029 53-105 EOO