Problem 999

Determine whether the set is finite or infinite.

{12,16,20,24,…………}

 

Solution:-

 

If the number of elements in a set is natural number, the set is finite. If the elements in a set cannot be counted, the set is infinite.

{12,16,20,24,…………} is  the roster, or list notation of the set in question. The description of the same set is the set if multiples of 4 greater than 11.

The element of the set cannot be counted.

The set is infinite.

{12,16,20,24,…………}

So the set is finite.

 

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