Question

q1 which of the following has only one subset?

(a) ( ) (b) ( 4 ) (c) (4,5 ) (d) (0)​

Answer 1

Answer:

(a) ( )

Step-by-step explanation:

Empty set is the subset of itself.

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Answer 2

Given data:

The sets { }, {4}, {4, 5} and {0}

To find:

The set which has only one subset (from the above sets)

Step-by-step explanation:

• a. { }. This is an empty set and we know that every set is its own subset. So its subset is { } and has no other subsets.

• b. {4}. This is a singleton set whose subsets are { } and {4}. There are two subsets.

• c. {4, 5}. There are two elements in this set. Its subsets are { }, {4}, {5} and {4, 5}. Clearly there are four subsets.

• d. {0}. Similar as (b), it has two subsets { } and {0}. There are two subsets.

Final Answer: (a) { }

{ } has only one subset.