Symbols are
a concise
way of giving
lengthy
instructions
related to
numbers and
logic.
Symbols are
a communication
tool. Symbols
are used to
eliminate the
need to write
long, plain
language
instructions to
describe
calculations
and other
processes.
For example, a
single symbol
stands for the
entire process
for addition.
The familiar
plus sign
eliminates the
need for a long
written
explanation of
what addition
means and how
to accomplish
it.
The same
symbols are
used worldwide
. . .
The symbols
used in
mathematics are
universal.
The same math
symbols are
used throughout
the civilized
world. In most
cases each
symbol gives
the same clear,
precise meaning
to every
reader,
regardless of
the language
they speak.
The most
valuable,
most
frequently used
Symbols in
mathematics . .
.
The most
important, most
frequently used
Symbols for
Set
Notation
are listed
below.
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Symbol
for
"Subset
(left) to
Set
(right)"

D
A
means Set
"D"
is a
Subset
of Set
"A":
(1)
Every
element
(without
exception)
contained in
Set
"D"
is also present
in Set
"A".
And .
. .
(2)
Set
"D"
CAN be
equal to
Set
"A".
(It is not
necessary for
Set
"D"
to have a
smaller number
of elements
than Set
"A")
Technically,
the math symbol
is
NOT
equivalent
to and
is
NOT
interchangeable
with
(Notice
the equal
sign at
the bottom
edge of
the symbol
is
missing.
This
indicates
the subset
cannot be
equal to
the set).
Both
symbols do
not mean
exactly
the same
thing.
The subset math
symbol
only
represents
a proper
subset.
The subset
symbol
represents
any
subset.
Example 1:
, Set
A:
A
=
{
a
,
b,
c
,
d}
Set
D:
D
=
{
a
,
c
}
. . . Both
Set
"D"
and Set
"A"
contain
the
following
elements:
a, c
. . . Set
D
is a
"Subset"
of Set
A
D
A
Example 2:
, Set
B:
B
=
{
1, 3, 9,
11
}
Set
E:
E
=
{
1, 3, 9,
11
}
. . . Both
Set
"E"
and Set
"B"
contain
the
following
elements:
1, 3, 9,
11
. . . Set
E
is a
"Subset"
of Set
B
E
B
Note:
When
the
symbol
is
used,
both
the
SET
and
SUBSET
can
be
equal
to
one
another.
Example 3:
, Set
C:
C
=
{dog,
horse,
bird,
rabbit,
cat
}
Set
F:
F
=
{
cat,
rabbit
}
. . . Both
Set
"F"
and Set
"C"
contain
the
following
elements:
rabbit,
cat
. . . Set
F
is a
"Subset"
of Set
C
F
C
Note:
the
elements
within
a
SET/SUBSET
can
be
listed
in
any
order.