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

Answer 1

Answer: (B), (D)

The correct options are
B B = {x: x is a prime number more than 27 and less than 50}
D 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.
Whereas, 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.
$\therefore$ The set builder representation of the set B = { 29, 31, 37, 41, 43, 47}, are

B = {x: x is a prime number more than 27 and less than 50}.

B = {x: x is a prime number more than 25 and less than 50}.