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48. How null ...

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48. How null set is subset to every set

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A ___ set is the subset of every set.

Q. An Empty Set

(\emptyset)

is a subset of every set.

Q. Which of the following statements are true? Give reason to support your answer.
(i) For any two sets A and B either

A \subseteq B or B \subseteq 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. Every set is a subset of itself.

Q. Every set is a subset of itself

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