Question

if AnB=AUB, then prove that A=B​

Answer 1

Answer:

given

AUB=AnB

x€A, x€(AUB)

x€(AnB)

x€A and x€B

AcB (1)

y€B , y€(AUB)

y€(AnB)

y€A, y€B

y€A and y€B

BcA (2)

(1), (2) from

A=B

Henceprovd