Question

Each of three sets A,B,C has exactly 3 elements. A−B={1,5}; B−C={2,4}; C−A={3,7}. Find A,B and C.

Answer 1

Answer:

A-B implies {1,5,x}€A

and x€B

B-C implies {2,4,y}€B

and y€C

C-A implies {3,7,z}€ C

and z€A

Which implies A ={1,5,2}

B={2,4,3} C={3,7,1}

you may verify also.

Answer 2

A={1,2,5}
B={3,2,4}
C={3,7 ,5}