Let $A = {a, b, c, d}, B = {a, b, c}, C = {b, d, e}$ then, find the sets D and E satisfying following condition
$C \supset E, B \cap E = ϕ$

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Solution

Set E should be such that it is a subset of B and no elements should be common in B and E
Since the common elements of B and C is just b, E cannot have the element b
So, one of the possibilities of set E is { $e$ }

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