MCQ
If $Y ∪ \{1, 2\} =\{1, 2, 3, 5, 9\},$ then:
  • The smallest set of $Y$ is $\{3, 5, 9\}$
  • B
    The smallest set of $Y$ is $\{2, 3, 5, 9\}$
  • C
    The largest set of $Y$ is $\{1, 2, 3, 5, 9\}$
  • D
    Both $A$ and $C$

Answer

Correct option: A.
The smallest set of $Y$ is $\{3, 5, 9\}$
Since the set of the right hand side has $5$ elements,
$\therefore$ smallest set of $Y$ has three elements and largest set of
$Y$ has five elements,
$\therefore$ smallest set of $Y$ is $\{3, 5, 9\}$
and largest set of $Y$ is $\{1, 2, 3, 4, 9\}$

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