Question

# The set builder representation of the set B = {29, 31, 37, 41, 43, 47}, is ______ .

A
B = {x: x is an odd number more than 27 and less than 50}
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B
B = {x: x is an odd number more than 25 and less than 50}
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C
B = {x: x is a prime number more than 25 and less than 50}
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D
B = {x: x is an odd number more than 50 and less than 25}
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Solution

## The correct option is C B = {x: x is a prime number more than 25 and less than 50}Set B has a collection of all the prime numbers more than 25 and less than 50. ∴ The set builder representation of the set B = { 29, 31, 37, 41, 43, 47}, are B = {x: x is a prime number more than 25 and less than 50}. The other options includes few numbers that are not a part of the given set B and hence can not be the set builder representation of the given set B.

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