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Byju's Answer
Standard X
Mathematics
Empty Set
Every set is ...
Question
Every set is a subset of itself .
It is true ?
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Solution
Dear student,
It is true.
A set is a subset of itself since a set contains all its elements.
Also, the empty set is a subset of every set, because every element in the empty set belongs to any set since the empty set has no elements.
Regards
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Every set is a subset of itself
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Every set is a subset of itself.
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No set is a proper subset of itself.
Q.
Which of the following statements are true? Give reason to support your answer.
(i) For any two sets A and B either
A
⊆
B
or
B
⊆
A
;
(ii) Every subset of an infinite set is infinite;
(iii) Every subset of a finite set is finite;
(iv) Every set has a proper subset;
(v) {a, b, a, b, a, b, ...} is an infinite set;
(vi) {a, b, c} and {1, 2, 3} are equivalent sets;
(vii) A set can have infinitely many subsets.
Q.
A
___
set is the subset of every set.
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