Taking the set of natural numbers as the universal set, write down the complements of the given set: { x : x is a perfect square }
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Taking the set of natural numbers as the universal set.
so, U = {x : x is a natural number }
Let us assume that A = {x : x is a perfect square}
we have to write complement of set A.
we know, complement of A is the set of all distinct elements or objects that do not belong to A. it is denoted by A' or
you can find easily complement of any set using formula, A' = U - A
so, A’ = {x : x is a natural number} - {x : x is a perfect square }
= {x : x is not a perfect square }
so, U = {x : x is a natural number }
Let us assume that A = {x : x is a perfect square}
we have to write complement of set A.
we know, complement of A is the set of all distinct elements or objects that do not belong to A. it is denoted by A' or
you can find easily complement of any set using formula, A' = U - A
so, A’ = {x : x is a natural number} - {x : x is a perfect square }
= {x : x is not a perfect square }
Answered by
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Solution :
U = { 1,2,3,4,5,6,7,... }
A = { x: x is a perfect square }
= { 1,4,9,16,25,36,49,... }
****************************************
Complement of set A is denoted by A'.
A' = U - A
= { x:x€U and and x doesn't belongs to A }
******************************************
Here ,
A' = U - A
= { 1,2,3,4,5,6,..} - { 1,4,9,16,25,36,49...}
= { 2,3,5,6,7,8,10,11,12,13,14,15,17,...}
= Set of all natural numbers other than
square numbers
••••
U = { 1,2,3,4,5,6,7,... }
A = { x: x is a perfect square }
= { 1,4,9,16,25,36,49,... }
****************************************
Complement of set A is denoted by A'.
A' = U - A
= { x:x€U and and x doesn't belongs to A }
******************************************
Here ,
A' = U - A
= { 1,2,3,4,5,6,..} - { 1,4,9,16,25,36,49...}
= { 2,3,5,6,7,8,10,11,12,13,14,15,17,...}
= Set of all natural numbers other than
square numbers
••••
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