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}

Solutions:

The universal set is,

U = { a, b, c, d, e, f, g, h}.

The complement of a set A is U - A,

where U is the universal set.

Thus,

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

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

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

(iv) D = U - D = { a, b, c, d, e, f, g, h} - {f, g, h, a} = {b, c, d, e}

NCERT Solutions Class 11 Maths Chapter 1 Exercise 1.5 Question 2

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}

Summary:

It is given that U = {a, b, c, d, e, f, g, h} and (i) A = {a, b, c} (ii) B = {d, e, f, g} (iii) C = {a, c, e, g} (iv) D = { f, g, h, a}. We have found that
(i) A' = {d , e, f , g, h}
(ii) B' = {a, b, c, h}
(iii) C' = {b, d , f, h}
(iv) D = {b, c, d, e}.