Question

show that A u B equal to A intersection B implies A=B​

Answer 1

Step-by-step explanation:

let 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

Answer 2

Step-by-step explanation:

hope it will help u and plz mark my answer as brainliest

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