If set A is a subset of set B, all members of set A are also members of set B. We write 'A ⊆ B'. We can also say that set B contains set A.
If A is a subset of set B and sets A and B are not equal to each other, set A is a proper subset of set B. We write 'A ⊂ B'.
Figure 1: Set A is a subset of set B; A ⊂ B. |
Think of a bunch of sheep. All the sheep are animals. But, there are animals that are not sheep, such as dogs. So the set of sheep is a subset of the set of animals, but the set of animals is not a subset of the set of sheep. The set of animals contains animals that are not sheep.
Since every integer is also a real number, the set of integers is a subset of the set of real numbers.
# | A | B | C | D |
E | F | G | H | I |
J | K | L | M | N |
O | P | Q | R | S |
T | U | V | W | X |
Y | Z |
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