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16 October, 21:47

Using complete sentences, explain what an infinite set is. In your answer give at least two examples of infinite sets

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  1. 16 October, 22:07
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    A set is said to be a finite set if it is either void set or the process of counting of elements surely comes to an end is called a finite set.

    In a finite set the element can be listed if it has a limited i. e. countable by natural number 1, 2, 3, and the process of listing terminates at a certain natural number N.

    The number of distinct elements counted in a finite set S is denoted by n (S). The number of elements of a finite set A is called the order or cardinal number of a set A and is symbolically denoted by n (A). Thus, if the set A be that of the English alphabets, then n (A) = 26: For, it contains 26 elements in it. Again if the set A be the vowels of the English alphabets i. e. A = {a, e, i, o, u} then n (A) = 5.
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