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Standard XII

Mathematics

Union

Given μ = x...

Question

Given $μ$ = {x / x is an integer, $0 \leq x \leq 10$ }
A = {x / the remainder is 1 when x is divided by 2}
B = {x / the remainder is 2 when x is divided by 3}
Find the set $n (A \cup B)^{'}$

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Solution

$μ = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10}$
$A = {1, 3, 5, 7, 9}$
$B = {2, 5, 8}$
$A \cup B = {1, 2, 3, 5, 7, 8, 9}$
$(A \cup B)^{'} = {0, 4, 6, 10}$
$\Rightarrow n (A \cup B)^{'} = 4$

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Given μ = {x / x is an integer, 0≤x≤10}A = {x / the remainder is 1 when x is divided by 2}B = {x / the remainder is 2 when x is divided by 3}Find the set n(A∪B)′

μ={0,1,2,3,4,5,6,7,8,9,10}A={1,3,5,7,9}B={2,5,8}A∪B={1,2,3,5,7,8,9}(A∪B)′={0,4,6,10}⇒n(A∪B)′=4

Given $μ$ = {x / x is an integer, $0 \leq x \leq 10$ }
A = {x / the remainder is 1 when x is divided by 2}
B = {x / the remainder is 2 when x is divided by 3}
Find the set $n (A \cup B)^{'}$

$μ = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10}$
$A = {1, 3, 5, 7, 9}$
$B = {2, 5, 8}$
$A \cup B = {1, 2, 3, 5, 7, 8, 9}$
$(A \cup B)^{'} = {0, 4, 6, 10}$
$\Rightarrow n (A \cup B)^{'} = 4$