Showing posts with label find the complements of the following sets. Show all posts
Showing posts with label find the complements of the following sets. Show all posts

Monday, April 14, 2014

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

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
(i) Complements of set A 
⇒ U – A
⇒ { a, b, c, d, e, f, g, h} - {a, b, c}
⇒ { d, e, f, g, h}
(ii) Complement of set B 
⇒ U – B
⇒ { a, b, c, d, e, f, g, h } - {d, e, f, g}
⇒ { a, b, c, h }
(iii) Complement of set C 
⇒ U – C
⇒ { a, b, c, d, e, f, g, h } - {a, c, e, g}
⇒ { b, d , f, h }
(iv) Complement of set D
⇒ U – D
⇒ { a, b, c, d, e, f, g, h } - { f, g, h, a}
⇒{ b, c, d, e )