Tardigrade
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Mathematics
Let A1, A2 and A3 be subsets of a set X. Which one of the following is correct?
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Q. Let $A_1, A_2$ and $A_3$ be subsets of a set $X$. Which one of the following is correct?
Sets
A
$A_1 \cup A_2 \cup A_3$ is the smallest subset of $X$ containing elements of each of $A_1, A_2$ and $A_3$
B
$A _1 \cup A _2 \cup A _3$ is the smallest subset of $X$ containing either $A _1$ or $A _2 \cup A _3$ but not both
C
The smallest subset of $X$ containing $A_1 \cup A_2$ and $A_3$ equals the smallest subset of $X$ containing both $A_1$ and $A_2 \cup A_3$ only if $A_2=A_3$
D
None of these
Solution:
$A_1 \cup A_2 \cup A_3$ is the smallest element containing subset of all we set $A_1, A_2$ and $A_3$