Question

If A ∪ B = A ∩ B, then​

Answer 1

Answer:

et x∈A then x∈A∪B

since , A∪B=A∩B  

x∈A∩B

So, x∈B  

i.e., if an element belongs to set A, then it must belong to set B also.  

∴A⊂B.....(i)  

Similarly, if y∈B then, y∈A∪B  

Since A∪B=A∩B  

y∈A∩B  

So, y∈A  

∴ if y∈B  

then y∈A  

A⊂A.....(ii)  

from (i) and (ii)  

A⊂B and B⊂A  

thus A=B

Step-by-step explanation: