First slide

Operations on Sets

Question

$If X \cup {1, 2} = {1, 2, 3, 5, 9}, then which of the following$ $is not true?$

Very Easy

A

$The smallest set of X is {3, 5, 9}$
B

$The smallest set of X is {2, 3, 5, 9}$
C

$The largest set of X is {1, 2, 3, 5, 9}$
D

None of these

Solution

Since the set on the right hand side has 5 elements,
smallest set of X has three elements and largest set of X has five elements.
$Thus, smallest set of X is {3, 5, 9} .$
$and largest of X is {1, 2, 3, 5, 9} .$

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