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5 votes
Which set is a subset of every set?

{}
{0}
{1}

User Bullines
by
8.5k points

2 Answers

4 votes
The first one is correct
User Zenith
by
8.6k points
2 votes

Answer:

The empty set is a subset of any set.

Option 1 is correct.

Explanation:

we have to find the set which is a subset of every set.

Subset is a set of which all the elements are contained in another set. i.e

if every member of set A is contained in set B or every member of set A is also a member of set B, then A is the subset of B i.e A⊂B

{0}, {1}

The above sets which includes 0 and 1 is not necessary a member of every set. Therefore these are not correct.

The empty set is the unique set having zero elements i.e cardinality is 0

∴ we can say that all the elements of the empty set are elements of any other set. Therefore, the empty set is a subset of any set.

The empty set denoted by Ф or {} is a subset of any set.

Option 1 is correct.

User Patrick Arlt
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