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Question

Which of the following sets are the subsets of A={k:k is a factor of 48}?

A
{1,2,4,8}
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B
{1,12,16,24,48}
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C
{1,48}
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D
{1,2,3,4,6,8,12,24,48}
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Solution

The correct option is D {1,2,3,4,6,8,12,24,48}
Given A={k:k is a factor of 48}
In roster form:
A={1,2,3,4,6,8,12,16,24,48}

Any set X is a subset of A, if each and every element of X is also an element of A, or if kXkA.

Now, looking at the options, we can conclude that each set is a subset to A.

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