Which of the following are sets ? Justify your answer.
The collection of questions in this chapter.
Which of the following are sets ? Justify your answer.
The collection of questions in this chapter.
The collection of questions in this chapter is a well-defined collection because one can definitely identify a question that belongs to this chapter.
Hence, this collection is a set.
Similar Questions
Let $A=\{1,2,\{3,4\}, 5\} .$ Which of the following statements are incorrect and why ?
$1 \subset A$
Let $A=\{1,2,\{3,4\}, 5\} .$ Which of the following statements are incorrect and why ?
$1 \subset A$
Write down all the subsets of the following sets
$\{ 1,2,3\} $
Write down all the subsets of the following sets
$\{ 1,2,3\} $
Two finite sets have $m$ and $n$ elements. The total number of subsets of the first set is $56$ more than the total number of subsets of the second set. The values of $m$ and $n$ are
Two finite sets have $m$ and $n$ elements. The total number of subsets of the first set is $56$ more than the total number of subsets of the second set. The values of $m$ and $n$ are
In each of the following, determine whether the statement is true or false. If it is true, prove it. If it is false, give an example.
If $x \in A$ and $A \in B,$ then $x \in B$
In each of the following, determine whether the statement is true or false. If it is true, prove it. If it is false, give an example.
If $x \in A$ and $A \in B,$ then $x \in B$
Examine whether the following statements are true or false :
$\{ a\} \in \{ a,b,c\} $
Examine whether the following statements are true or false :
$\{ a\} \in \{ a,b,c\} $