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Question

The sets

A={x:xN and 13>2x+1} and

B={y:yZ and 30y<25} are ___ sets.


A
nan
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B
equivalent
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C
equal
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D
joint
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Solution

The correct option is B equivalent

Given A={x:xN and 13>2x+1}.

For xN, 13>2x+1
12>2x
6>x
i.e., x<6

A={1,2,3,4,5}
n(A)=5

B={y:yZ and 30y<25}
B={30,29,28,27,26}
n(B)=5

As n(A)=n(B), the sets A and B are equivalent, though they are not equal.


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