Problem 1000

Determine whether the set is finite or infinite.

The set of odd numbers greater than 87.

 

Solution:-

 

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

“The set of add numbers greater than 87” is the description of the set in question. The roster notation for the same set is {89,91,93,95,……}.

The element of the set cannot be counted be counted. An ellipsis in roster form indicates that the elements in the set continue in the same manner. An ellipsis followed by a last element indicates that the elements continue in the same manner up to and including the last element. In the roster form of this set, however, there is no last element, so the elements continue without stopping.

Thus, the set is infinite.

 

 

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