Question Video: Identifying the Type of a Given Set Mathematics

Is the set finite, infinite, or null? The set of letters in the English alphabet.

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Video Transcript

Is the set finite, infinite, or null? The set of letters in the English alphabet.

So first, let’s go through the words finite, infinite, and null. If a set is finite, then the set will have a certain number of elements. So it will end. It won’t go on forever. Whereas infinite means the exact opposite. This set will go on forever. The number of elements is really never ending. The null set, also known as the empty set, doesn’t have any elements in it.

So we wanna know, is the set of letters in the English alphabet finite, infinite, or null. Well, let’s begin by listing the letters in the English alphabet. The letters of the English alphabet include a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q, r, s, t, u, v, w, x, y, and z. So we have exactly 26 letters. So we know that this is not empty. So it’s not the null set.

So is this set finite or infinite? Well, since we have exactly 26 elements in this set, because there are 26 letters in the English alphabet, then it will be finite. Because this set ends at the 26th letter. So our final answer will be finite.

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