(A) The union of two sets $A$ and $B$,denoted by $A \cup B$,is the set of all elements which are in $A$,in $B$,or in both.Given sets are $A = \{1, 2,

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(A) The union of two sets $A$ and $B$,denoted by $A \cup B$,is the set of all elements which are in $A$,in $B$,or in both.Given sets are $A = \{1, 2, 3\}$ and $B = \varnothing$ (the empty set).Therefore,$A \cup B = \{1, 2, 3\} \cup \varnothing = \{1, 2, 3\}$.Thus,$A \cup B = A$.

Class 11 Mathematics Set Theory Basic of Set theory

Easy

Find the union of each of the following pairs of sets:
$A = \{1, 2, 3\}, B = \varnothing$

A
$A \cup B = \{1, 2, 3\}$
B
$A \cup B = \{1, 2\}$
C
$A \cup B = \varnothing$
D
$A \cup B = \{3\}$

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Which of the following is a set? Justify your answer.
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Find the union of each of the following pairs of sets:$A = \{1, 2, 3\}, B = \varnothing$

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Which of the following is a set? Justify your answer.$A$ team of eleven best cricket batsmen of the world.

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Find the union of each of the following pairs of sets:
$A = \{1, 2, 3\}, B = \varnothing$

Which of the following is a set? Justify your answer.
$A$ team of eleven best cricket batsmen of the world.

State whether the following statement is true or false. Justify your answer.
${2, 6, 10}$ and ${3, 7, 11}$ are disjoint sets.

Determine whether the following set is finite or infinite:
$\{1, 2, 3, \ldots, 99, 100\}$