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Question

If U = { a, b, c, d, e, f, g, h }, find the complements of the following sets: (i) A = { a, b, c } (ii) B = { d, e, f, g } (iii) C = { a, c, e, g } (iv) D = { f , g , h , a }

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Solution

(i)

Given universal set U={ a,b,c,d,e,f,g,h }

A={ a,b,c }

Therefore, complement of A=A'=UA={ d,e,f,g,h } .

(ii)

B={ d,e,f,g }

Therefore, complement of B={ a,b,c,h } .

(iii)

C={ a,c,e,g }

Therefore, complement of C={ b,d,f,h } .

(iv)

D={ f,g,h,a }

Therefore, the complement of D={ b,c,d,e } .


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