Which of the following is a set? Justify your answer.
The collection of all even integers.
The collection of all even integers.
(A) The collection of all even integers is a well-defined collection because one can definitely identify whether any given integer is even or not.
Since the criteria for membership in this collection are clear and unambiguous,this collection is a set.
Since the criteria for membership in this collection are clear and unambiguous,this collection is a set.
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Similar Questions
If $A = \{ x : x \text{ is a natural number} \}$,$B = \{ x : x \text{ is an even natural number} \}$,$C = \{ x : x \text{ is an odd natural number} \}$,and $D = \{ x : x \text{ is a prime number} \}$,find $A \cap D$.
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View SolutionLet $A$ and $B$ be two non-empty subsets of a set $X$ such that $A$ is not a subset of $B$. Then:
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View SolutionLet $A = \{1, 2, 3, 4, 5, 6\}$. Insert the appropriate symbol $\in$ or $\notin$ in the blank space:
$4 \dots A$
$4 \dots A$
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View SolutionWhich of the following pairs of sets are equal? Justify your answer.
$X$,the set of letters in "$ALLOY$" and $B$,the set of letters in "$LOYAL$".
$X$,the set of letters in "$ALLOY$" and $B$,the set of letters in "$LOYAL$".
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