Question

Which is this set {2, 3, 5, 7, 11, 13, 17, 19} in descriptive method?

Answer 1

Step-by-step explanation:

We know that 2, 3, 5, 7, 11, 13, 17, 19, 23 and so on are prime numbers. Hence, the set contains elements which are prime numbers.

Hence, we can represent the given set in set-builder form as follows:

{x: x is a prime number}

Hence, the answer is {x: x is a prime number}.

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Answer 2

SOLUTION

TO DETERMINE

The set {2, 3, 5, 7, 11, 13, 17, 19} in descriptive method

CONCEPT TO BE IMPLEMENTED

SET :

A set is a well defined collection of distinct objects of our perception or of our thought to be conceived as a whole

Representation of Set :

A set can be represented in following ways

(i) Statement form method

(ii) Roster or tabular form method

(iii) Rule or set builder form method

(iv) Descriptive method

EVALUATION

Let S be the given set

S = {2, 3, 5, 7, 11, 13, 17, 19}

We know that set is a well defined collection of distinct objects of our perception or of our thought to be conceived as a whole

Now 2, 3, 5, 7, 11, 13, 17, 19 are first eight prime numbers

The given set in descriptive method is

S = The set of first eight prime numbers

The given set may be also rewritten as below

2, 3, 5, 7, 11, 13, 17, 19 are prime numbers less than 20

Thus we have

S = The set of prime numbers less than 20

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