(A) We observe that each element in the set follows the pattern $\frac{n}{n+1}$,where $n$ is the numerator.The numerator $n$ starts from $1$ and goes

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$\{ x : x = \frac{n}{n+1}, n \in \mathbb{N}, 1 \le n \le 6 \}$

(A) We observe that each element in the set follows the pattern $\frac{n}{n+1}$,where $n$ is the numerator.The numerator $n$ starts from $1$ and goes up to $6$.Thus,the set-builder form is $\{ x : x = \frac{n}{n+1}, n \in \mathbb{N}, 1 \le n \le 6 \}$.

Class 11 Mathematics Set Theory Basic of Set theory

Easy

Write the set $\{ \frac{1}{2}, \frac{2}{3}, \frac{3}{4}, \frac{4}{5}, \frac{5}{6}, \frac{6}{7} \}$ in the set-builder form.

A
$\{ x : x = \frac{n}{n+1}, n \in \mathbb{N}, 1 \le n \le 6 \}$
B
$\{ x : x = \frac{n}{n+1}, n \in \mathbb{N}, 1 \le n < 6 \}$
C
$\{ x : x = \frac{n}{n+1}, n \in \mathbb{N}, 1 < n \le 6 \}$
D
$\{ x : x = \frac{n}{n-1}, n \in \mathbb{N}, 1 \le n \le 6 \}$

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Class 11

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Set Theory

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Basic of Set theory

List all the elements of the following set:
$C = \{ x : x \text{ is an integer; } x^2 \le 4 \}$

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The set $A = \{ x : x \ne x \}$ represents:

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State whether the following set is finite or infinite:
The set of numbers which are multiples of $5$.

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If $A$ and $B$ are two sets,then $A \cup (A \cap B)$ is equal to

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Given the sets $A = \{1, 3, 5\}$,$B = \{2, 4, 6\}$,and $C = \{0, 2, 4, 6, 8\}$,which of the following sets can be considered as a universal set for all three sets $A$,$B$,and $C$?

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Write the set $\{ \frac{1}{2}, \frac{2}{3}, \frac{3}{4}, \frac{4}{5}, \frac{5}{6}, \frac{6}{7} \}$ in the set-builder form.

Similar Questions

List all the elements of the following set:$C = \{ x : x \text{ is an integer; } x^2 \le 4 \}$

The set $A = \{ x : x \ne x \}$ represents:

State whether the following set is finite or infinite:The set of numbers which are multiples of $5$.

If $A$ and $B$ are two sets,then $A \cup (A \cap B)$ is equal to

Given the sets $A = \{1, 3, 5\}$,$B = \{2, 4, 6\}$,and $C = \{0, 2, 4, 6, 8\}$,which of the following sets can be considered as a universal set for all three sets $A$,$B$,and $C$?

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List all the elements of the following set:
$C = \{ x : x \text{ is an integer; } x^2 \le 4 \}$

State whether the following set is finite or infinite:
The set of numbers which are multiples of $5$.