Question

Let A = {a, b, c, d} B = {a, b, c}, C = {b, d, e} then, find the sets D and E satisfying following conditions.
(i) D $\subset$ A, D $\ne$B
(ii) C $\supset$ E, B $\cap$ E = $\varphi$

Answer 1

A = {a,b,c,d}, B = {a,b,c} and C = {b,d,e}

(i) $\mathrm{D}\subset \mathrm{A},\mathrm{D}\ne \mathrm{B}$
There can be many alternatives to D.
One of the answer is D = { a,b,d}.

(ii) $\mathrm{C}\supset \mathrm{E},\mathrm{B}\cap \mathrm{E}=\mathrm{\varphi }$
There can be many alternatives to E.
One of the answer is E = {d,e}.