Question

Decide whether set A and B are equal sets. Give reason for your answer. 

A = Even prime numbers 

B = {x | 7x – 1 = 13}

Answer 1

A = Even prime numbers 

Since 2 is the only even prime number, 

∴ A = {2} …(i) 

B= {x | 7x – 1 = 13} 

Here, 7x – 1 = 13 

∴ 7x = 14 

∴ x = 2 

∴ B = {2} …(ii) 

∴ The element in set A and B is identical. … [From (i) and (ii)] 

∴ A and B are equal sets.