Question

Decide whether set A and B are equal , A =Even prime number, B ={x I 7x-1=13 }​

Answer 1

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 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}

Answer:

            So the set A and B are equal sets.