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Question

# If B = {1, 3, 5, 7, 9}, the set-builder representation of B is _________.

A

B = {x : x is a prime number less than 10}

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B

B = {x : x is an odd number less than 10}

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C

B = {x : x is an odd natural number}

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D

B = {x : x is an odd natural number less than 10}

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Solution

## The correct option is D B = {x : x is an odd natural number less than 10} B = {x : x is a prime number less than 10} is wrong as 1 and 9 are not prime numbers. B = {x : x is an odd number less than 10} is wrong as the set of odd numbers less than 10 gives {-∞,- - - - -, -5, -3, -1, 1, 3, 5, 7, 9}. B = {x : x is an odd natural number} is wrong as the set of odd natural numbers gives {1, 3, 5, 7, 9, 11, ........, ∞}. ⇒B = {x : x is an odd natural number less than 10} is the set builder representation of B = {1, 3, 5, 7, 9}.

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