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Mathematics
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If $A = \{x: x =2n+1, n ∈ Z\}$ and $B=\{x: x = 2n, n∈ Z\}$, then $A∪B=$
N
Z
R
None of these
The correct answer is Option (2) → Z
We have,
$A∪B=\{x: x =2n+1$ or $x = 2n, n ∈ Z\}$
= {x:x is an integer} = Z.