Universal set U - x-x is an even natural number andx-15If A - x-x - 4n- x- 12 and n-N- then A- is-

Given U = {x:x is an even natural number} and x lt;15} U = {2,4,6,8,10,12,14} A = {x:x = 4n, x≤ 12 and n∈N} A = {4,8,12} ∴A' = {2,6,10,14} ...

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Standard XII

Mathematics

Definition of Sets

Universal set...

Question

Universal set $U = {x : x is an even natural number and$ $x < 15}$
If $A = {x : x = 4 n, x \leq 12 and n \in N}$ , then $A^{'}$ is:

{2, 4, 6, 8, 10, 12}

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{4, 8, 12}

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{1, 3, 5, 7, 9, 11, 13}

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{2, 6, 10, 14}

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Solution

The correct option is D ${2, 6, 10, 14}$
Given
$U = {x : x is an even natural number}$ $and x < 15}$
$⟹ U = {2, 4, 6, 8, 10, 12, 14}$
$A = {x : x = 4 n, x \leq 12 and n \in N}$
$⟹ A = {4, 8, 12}$

$∴ A^{'} = {2, 6, 10, 14}$

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Universal set U={x:x is an even natural number and x<15} If A={x:x=4n,x≤12 and n∈N}, then A′ is:

The correct option is D {2,6,10,14}Given U={x:x is an even natural number} and x<15} ⟹U={2,4,6,8,10,12,14} A={x:x=4n,x≤12 and n∈N} ⟹A={4,8,12} ∴A′={2,6,10,14}

Universal set $U = {x : x is an even natural number and$ $x < 15}$
If $A = {x : x = 4 n, x \leq 12 and n \in N}$ , then $A^{'}$ is:

The correct option is D ${2, 6, 10, 14}$
Given
$U = {x : x is an even natural number}$ $and x < 15}$
$⟹ U = {2, 4, 6, 8, 10, 12, 14}$
$A = {x : x = 4 n, x \leq 12 and n \in N}$
$⟹ A = {4, 8, 12}$

$∴ A^{'} = {2, 6, 10, 14}$