•
Two different types of intervals
o
Interval notation
Brackets show that number is included
Parenthesis show that number is not included
EX: [3,12) means that it includes all numbers from three to twelve, including
three but not including twelve
Number line:
o
SetBuilder notation
Expresses the number interval with greater than and less than signs
EX: [3,12) is written in Interval notation showing numbers greater than or equal
to three, but less than twelve, to write in setbuilder
•
3≤x<12
•
The bar under the first less than sign means less than or equal to
•
When given an equation like : (5,3) U [1,8)
o
The U means that you list all of the numbers in EITHER interval, so all numbers
from 5 to three and from 1 to 8, with 1 included because of the bracket
o
Answer would be the lowest number to the highest, or (5,8)
•
If equation was (5,3)
[1,8) (with upside down U)
o
Graph both
o
5(
)
3
o
1[
) 8
o
Notice how they overlap between [1,3), that’s your answer
•
If given equations such as 4x + 11 <27
o
Just solve it algebraically : 4x + 11
11
< 27
11
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 Spring '08
 Heil
 Interval notation Brackets

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