Relations and Functions

Relations and Functions

Question

 If U = {a, c, d, e, f, g, h}, find the complements of the following sets :

(a) A = {a, b, c} (b) B = {d, e, f, g} (c) C = {a, c, e, g} (d) D = {f, g, h, a}

Answer

(a)    A' = U - A = {a,b,c,d,e,f,g,h} - {a, b, c} = (d, e, f, g, h}
(b) B' = U - B = {a, b, c, d, e , f, g, h} - {d, e, f, g} = {a, b, c, h}
(c) C ' = U - C = {a, b, c, d, e, f, g} - (a, c, e, g) = {b, d, f, h}
(d) D' = U - D = {a, b, c,, d, e, f, g, h} - {f, g, h, a} = {b, c, d, e}

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