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Standard XIII

Mathematics

Universal Set

What will be ...

Question

What will be the universal set for the sets $A = {4, 8, 9}; B = {1, 4, 8}; C = {1, 9} ?$

U = {1, 4, 8, 9}

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U = {1, 4, 5, 7, 8, 9}

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U = {1, 4, 5, 7, 8, 9, 11, 12, 15}

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U = {1, 4, 5, 8}

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Solution

The correct option is C $U = {1, 4, 5, 7, 8, 9, 11, 12, 15}$
Given sets $A = {4, 8, 9}; B = {1, 4, 8}; C = {1, 9}$
Now, the universal set of all these three sets should have all the elements from all these 3 sets.
Now, from the Options we see $U = {1, 4, 8, 9}; U = {1, 4, 5, 7, 8, 9}; U = {1, 4, 5, 7, 8, 9, 11, 12, 15}$
These three can be the universal set for the three sets.

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What will be the universal set for the sets A={4,8,9};B={1,4,8};C={1,9}?

What will be the universal set for the sets $A = {4, 8, 9}; B = {1, 4, 8}; C = {1, 9} ?$