Question

# If U = {1, 3, 5, 7, 9, 11, 13}, then which of the following are subsets of U. B = {2, 4} A = {0}C = {1, 9, 5, 13}D = {5, 11, 1} E = {13, 7, 9, 11, 5, 3, 1} F = {2, 3, 4, 5}

A
A and B
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B
C, D and E
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C
A and D
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D
only A
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Solution

## The correct option is A C, D and EGiven U={1,3,5,7,9,11,13},A={0},B={2,4},C={1,9,5,13},D={5,11,1},E={13,7,9,11,5,3,1},F={2,3,4,5}Now we have to find the subsets of UConsider A={0}Since 0∉U,A⊈UConsider B={2,4}Since 2,4∉U,B⊈UConsider C={1,9,5,13}Since 1,9,5,13∈U,C⊂UConsider D={5,11,1}Since 5,11,1∈U,D⊂UConsider E={13,7,9,11,5,3,1}Since 13,7,9,11,5,3,1∈U,E⊆UConsider F={2,3,4,5}Since 2,3,4∉U,F⊈UTherefore C,D,E are subsets of U.

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