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}

Answer 1

Step-by-step explanation:

(i) We have to find complement of A, which is given by (U - A)

⇒ A’ = U - A

⇒ A’ = {a, b, c, d, e, f, g, h} - {a, b, c}

⇒ A’ = {d, e, f, g, h}

(ii) B’ = U - B

⇒ B’ = {a, b, c, d, e, f, g, h} - {d, e, f, g}

⇒ B’ = {a, b, c , h}

(iii) C’ = U - C

⇒ C’ = {a, b, c, d, e, f, g, h} - {a, c, e, g}

⇒ C’ = {b, d , f, h}

(iv) D’ = U - D

⇒ D’ = {a, b, c, d, e, f, g, h} - {f, g , h , a}

⇒ D’ = {b, c, d, e}

JAI SHREE KRISHNA