Question

Decide whether set A and B are equal sets. Give reason for your answer.
A=Even prime numbers
B = {xl 7x-1 = 13}​

Answer 1

Answer:  

Sets A and B are equal sets.

Step-by-Step Explanation:

Given: A = Even prime number and B = {x | 7x - 1 = 13}  

To find: Whether set A and B are equal?  

Solution:  

Now we have given that set A is an Even prime number.

So we have only one even prime number and that is 2.

                 A = {2}        ...(i)  

Now we have B as:

                 B = {x | 7x - 1 = 13}

Taking the equation, we get:

                 7x - 1 = 13  

                 7x = 14  

                 x = 2  

So B has an element as 2, B = {2}. ..(ii)

So from (i) and (ii), we have:

                 A = B = {2}      

∴ the sets A and B are equal sets.