0.1 Interval Notation
(1,5)
This is an OPEN interval (dots are OPEN).
The endpoints, 1 and 5, are
NOT included.
In interval notation, this is:
All values from 1 to 5 NOT including
1and 5
In interval notation, this is:
(   ,   )
The dots are OPEN. This is
All values from 1 to 5 NOT including
1and NOT including 5
(fill in BLANKS)
An OPEN interval
A CLOSED interval
[1,5]
This is a CLOSED interval (dots are CLOSED).
The endpoints, 1 and 5, ARE included.
In interval notation, this is:
All values from 1 to 5  INCLUDING
1and 5
[   ,   ]
In interval notation, this is:
Dots are CLOSED.

This is...
All values from 1 to 5  INCLUDING
1and 5
(fill in BLANKS)
An OPEN interval
A CLOSED interval
Interval
Notation
Inequality:
Interval
(dots)
CLOSED
?
[1,5]
?
1≤x≤5
?
1<x<5
?
OPEN
?
(1,5)
?
Write in interval notation:x ≥ 2
(-∞, 2]
(-∞, 2)
(2, ∞)
[2, ∞)
"x is equal to or greater than 2"
Write in interval notation:x > 2
(2, ∞]
(-∞, 2)
(2, ∞)
[2, ∞)
"x is greater than 2"
Write in interval notation:x > 2
(-∞, 2)
(2, ∞]
(2, ∞)
[2, ∞)
"x is greater than 2"
Infinity is ALWAYS
expressed as an
OPEN interval, use
 ) not  ]
Correct answer
Write in interval notation:-1≤ x < 4 
(-1, 4]
[-1, 4]
[-1, 4)
(-1, 4)
Write in interval notation:-1 < x < 4
(-1, 4]
[-1, 4]
[-1, 4)
(-1, 4)
Select the appropriate interval representation for the
number line shown.
-1
[-1, 2)
[-1, 2]
 (-1, 2] 
(-1, 2)
2
(-∞, -4)
The interval to the left is:
-4
[-4, -∞]
1
 (-∞, -4]
(-4, ∞)
(1, ∞)
The interval to the right is:
-4
[1, ∞)
1
 [1, ∞]
(1, ∞)    
Select the appropriate interval representation for thenumber line shown (the union of both shaded parts).
[-4, -∞] U (1, ∞)          U means "union"
(-∞, -4) U [1, ∞)
(-∞, -4] U [1, ∞)
(-4, ∞) U (1, ∞)
-4
1
(((( THE ))))
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