VARIOUS ,NOTATIONS AND DESCRIPTIONS
Graph
.
.
0
6
B
0
.
6
B
.. x
.
.. x
Set Notation
Verbal Description
Interval Notation
{xl. 6 s x < 8}
x ;!; 6 and x < 8
[6.8)
{xl )(<6 or x 8}
x < 6 or x <!:8
(-00,6)
U [8.00)
:
.
II
.. x
~x
,.
0
.
-0
6
4
.
~
.
~
x is any real number
(-OO,OO)
There is no possible value for x
Ij>
{xl x ER.. and x ~ 6}
x is any real except x
(-00,6) U (6.-00)
{xl 4<xs6
(x > 4 and x s 6) or (x > 8)
{xl.x E
}
x EIj>
x
;It
6
6
0
x
or x>8}
B
Notes
1.
In intervalnotation,use parenthesis with -00 or
2.
A statement such as "6 > x > 8" is false since x cannot be less than 6 and also greater than 8,
3.
4.
A statement such as "6 < x > 8" is meaningless.
'5.
00.
A continuous inequality, such as "6 < x < 8" can'be read as IIXis between 6 and 8".
A disconnected graph. such as the last one shown above, must be expressed using"U" or "or".
(4,6] U (8.00)
.
.