The correct option is D (A ∩ B)' Note from the Venn diagram that A∩ B = {1, 6}. The complement of A∩ B is the set of all those elements of U, which are not in ...

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Standard IX

Mathematics

Complement

represents th...

Question

In the below Venn-diagram, the set ${2, 3, 4, 5, 7, 8, 9, 10}$ represents the set ___.

$A \cup B$

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A - B

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$(A \cup B)^{'}$

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$(A \cap B)^{'}$

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Solution

The correct option is D
$(A \cap B)^{'}$

Note from the Venn diagram that $A \cap B = {1, 6} .$
The complement of $A \cap B$ is the set of all those elements of $U,$ which are not in $A \cap B .$
$∴ (A \cap B)^{'} = {2, 3, 4, 5, 7, 8, 9, 10},$ represented by the portion shaded in yellow.

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In the below Venn-diagram, the set {2,3,4,5,7,8,9,10} represents the set ___.

The correct option is D (A∩B)′ Note from the Venn diagram that A∩B={1,6}. The complement of A∩B is the set of all those elements of U, which are not in A∩B. ∴(A∩B)′={2,3,4,5,7,8,9,10}, represented by the portion shaded in yellow.

In the below Venn-diagram, the set ${2, 3, 4, 5, 7, 8, 9, 10}$ represents the set ___.

The correct option is D
$(A \cap B)^{'}$

Note from the Venn diagram that $A \cap B = {1, 6} .$
The complement of $A \cap B$ is the set of all those elements of $U,$ which are not in $A \cap B .$
$∴ (A \cap B)^{'} = {2, 3, 4, 5, 7, 8, 9, 10},$ represented by the portion shaded in yellow.