Taking the set of natural numbers as the universal set, write down the complements of the given set: {x : x is a natural number divisible by 3 and 5}
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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 natural number divisible by 3 and 5}
or, A = {x : x is a natural number divisible by 15}
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 natural number divisible by 15}
= {x : x is a natural number not divisible by 15}.
so, U = {x : x is a natural number }
Let us assume that A = {x : x is a natural number divisible by 3 and 5}
or, A = {x : x is a natural number divisible by 15}
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 natural number divisible by 15}
= {x : x is a natural number not divisible by 15}.
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