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False
A set "A" is said to be a subset of of set "B", if every element in set "A" is also an element of set "B". If "A" is a subset of "B" and the sets are not equal, "A" is said to be a proper subset of "B". For example: the set of natural numbers is a subset of itself. The set of square numbers is a subset (and also a proper subset) of the set of natural numbers.
A banana. It is not even a number so it is a brilliant non-example.
Mathematicians are not agreed on this point. Some use N and N+ to distinguish between the set of Natural numbers including 0, and not including 0.
A set is a collection of distinct objects. Each objectin a set is called an element or member of the set. You can use set notation to write a set by enclosing the elements of the sets in braces. For example, if A is the set of whole numbers less than 6, then A = {0,1,2,3,4,5}.