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Question

A set Y containing all elements x such that x is a whole number less than 10 can be represented in Set-builder form as:

A
Y={x:x<11 & xW}
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B
Y={x:x<10 & xW}
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C
Y={x:x>10 & xW}
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Solution

The correct option is B Y={x:x<10 & xW}
We have Y is a set of all whole numbers x such that x<10.
In roster form, we can express it as: Y={0,1,2,3,,9}
So, in set builder form, we can write it as:
Y={x:x<10 & xW}, where W denotes the set of "Whole Numbers".

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