Show that the following four conditions are equivalent:(i)`Asub B` (ii – InterviewSolution

InterviewSolution

1.	Show that the following four conditions are equivalent:(i)`Asub B` (ii) `A B =varphi` (iii) `A uuB = B` (iv) `A nnB = A`
Answer» 1 and 2) A-B`!= phi` x`in`A,x`notin`B not possible A`subset`B x`in`B A-B=`phi` 1 and 3) `x in AUB` `x in A or x in B` AUB=B 1 and 4) `x in A nn B` `x in A and x in B` `A= A nn B` `A subset B`.

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