Question

Describe the sets in set-builder form : P = { 2/ 7 , 3 /8 , 4 /9 , 5 /10 , 6/ 11 , 7/ 12 , 8/ 13 , 9/14}.

Answer 1

SOLUTION

TO DETERMINE

The set-builder form : P = { 2/ 7 , 3 /8 , 4 /9 , 5 /10 , 6/ 11 , 7/ 12 , 8/ 13 , 9/14}.

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

Commonly we shall use capital letters A, B, C.... to denote sets and small letters a, b, c.... to denote objects ( or elements) of a set

REPRESENTATION OF SET

A set can be represented in following ways

• Set Builder form

• Tabular or Roster form

EVALUATION

Here the given set is

P = { 2/ 7 , 3 /8 , 4 /9 , 5 /10 , 6/ 11 , 7/ 12 , 8/ 13 , 9/14}

Now the required Set builder form is

$= \displaystyle \sf{ \bigg \{ \: \frac{n}{n + 5} : \: n = 2, 3,4,5,6,7,8,9 \: \bigg \}}$

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