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 )

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