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(i) A = {a, e, i, o, u}

(ii) B = {1, 3, 5, 7, 9, 11}

(iii) C = {1, 4, 9, 16, 25}

(iv) P = {x : x is a letter in the word ‘set theory’)

(v) Q = {x : x is a prime number between 10 and 20}

Answer
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There are three types of set representation, viz. tabular form, set builder form and descriptive form.

Tabular form: If all the elements of the set are listed between curly brackets “{}” and separated with comma “,”, such kind of set is said to be in tabular form.

Set Builder form: If the definition and condition of the set is written using various mathematical symbols and operators and enclosed between curly brackets “{}”, such kind of set is said to be in set builder form.

Descriptive form: If the definition and condition of the set is written like a statement, such a set is said to be in descriptive form.

Let us see an example:

Let A be our sample set.

Tabular form: A = {2, 4, 6, 8, 10 …}

Set Builder form: A = {x $ \in N\left| \dfrac{x}{2}\in N \right. $ }

Descriptive form: A is a set of all the even numbers.

Now let us see the given sets.

(i) A = {a, e, i, o, u}

(ii) B = {1, 3, 5, 7, 9, 11}

(iii) C = {1, 4, 9, 16, 25}

(i), (ii) and (iii) are in tabular form.

(iv) P = {x : x is a letter in the word ‘set theory’)

(v) Q = {x : x is a prime number between 10 and 20}

Both set P and Q are in set builder form.

Thus, there are no sets in descriptive form.

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