InterviewSolution
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InterviewSolution
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FOR ANY TWO SETS `Aa n dB`, show that the following statements are equivalent:`AsubB`(ii) `A-B=varphi`(iii) `AuuB=B`(iv) `AnnB=Adot` |
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Answer» As `A sub B`, Set `B` will have all the elements of set `A.` Let `A = {a,b,c}` `B = {a,b,c,1,2,3,p,q,r}` Here, `A sub B.` Now, `A - B = phi` as there are no such elements in `A` that are not present in `B`. Now, `AuuB = {a,b,c,1,2,3,p,q,r} = B` `:. AuuB = B` Now, `A nn B = {a,b,c} = A` `:. Ann B = A` |
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