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If A = {1,2,3,4},B={1,2,3} and C={2,4}, ...

If `A = {1,2,3,4},B={1,2,3} and C={2,4}`, the find all sets X such that
(i) `XsubBand XsubC`
(ii) `X sub and X cancel(sub)B`.

Text Solution

Verified by Experts

`P(B)={phi,{1},{2},{3},{1,2},{2,3},{1,3},{1,2,3}}`
and `P(C)={phi,{2},{4},{2,4}}`
`:. X = phi,{2}`.
(ii) `P(A)={phi,{1},{2},{4},{1,2},{1,3},{1,4},{2,3},{2,4},{3,4},{1,2,3},{1,2,4},{1,3,4},{2,3,4},{1,2,3,4}}`
`:. X={4},{1,4},{2,4},{3,4},{1,2,4},{1,3,4},{2,3,4},{2,3,4},{1,2,3,4}}`.
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