Question

(ii) B = {8, 27, 64, 125, 216} write in set builder form​

Answer 1

The set builder form is B = { n³ : n ∈ N & 2 ≤ n ≤ 6 }

Given :

The set B = {8, 27, 64, 125, 216}

To find :

The set builder form of the set B

Concept :

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

Solution :

Step 1 of 2 :

Write down the given set

Here the given set is

B = {8, 27, 64, 125, 216}

Step 2 of 2 :

Express in set builder form

8 = 2³

27 = 3³

64 = 4³

125 = 5³

216 = 6³

Here 2 , 3 , 4 , 5 , 6 are natural numbers

Hence the required set builder form is given by

B = { n³ : n ∈ N & 2 ≤ n ≤ 6 }

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