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Question

Two sets given such that A={a:a is a prime number<25} &
B={b:bN,10b18}, the select the correct statements.

A
AB={11,13,17}
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B
AB=BA
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C
AB=BA
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D
AB
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Solution

The correct option is C AB=BA
Given two sets: A={a:a is a prime number<25} &
B={b:bN,10b18}
Now, in roster form:
A={2,3,5,7,11,13,17,19,23} &
B={10,11,12,...,16,17,18}
Now, we know the commutative property of both union and intersection of sets.
AB=BA & AB=BA
Also, AB={11,13,17}.
Also, this means A⊄B.

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