(C) The interval $[6, 12]$ is a closed interval,which includes all real numbers $x$ such that $6 \le x \le 12$. In set-builder form,this is represent

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$\{x : x \in R,6 \le x \le 12\}$

(C) The interval $[6, 12]$ is a closed interval,which includes all real numbers $x$ such that $6 \le x \le 12$. In set-builder form,this is represented as: ${x : x \in R, 6 \le x \le 12}$ Therefore,the correct option is $C$.

Class 11 Mathematics Set Theory Basic of Set theory

Easy

Write the following interval in set-builder form: $[6, 12]$

A
$\{x : x \in R,6 < x < 12\}$
B
$\{x : x \in R,6 \le x < 12\}$
C
$\{x : x \in R,6 \le x \le 12\}$
D
$\{x : x \in R,6 < x \le 12\}$

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Set Theory

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Basic of Set theory

Match each of the set on the left described in the roster form with the same set on the right described in the set-builder form:

$(i) \{ P,R,I,N,C,A,L\} $ $(a) \{ x:x \text{ is a positive integer and is a divisor of } 18\} $

$(ii) \{ 0\} $ $(b) \{ x:x \text{ is an integer and } x^2 - 9 = 0\} $

$(iii) \{ 1,2,3,6,9,18\} $ $(c) \{ x:x \text{ is an integer and } x + 1 = 1\} $

$(iv) \{ 3, -3\} $ $(d) \{ x:x \text{ is a letter of the word } PRINCIPAL\} $

Medium

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From the sets given below,select equal sets:
$A=\{2,4,8,12\}, B=\{1,2,3,4\}, C=\{4,8,12,14\}, D=\{3,1,4,2\}$
$E=\{-1,1\}, F=\{0, a\}, G=\{1,-1\}, H=\{0,1\}$

Medium

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List all the elements of the following set:
$A = \{ x:x \text{ is an odd natural number} \}$

Easy

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Which of the following is a set? Justify your answer.
The collection of all boys in your class.

Easy

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Let $A = \{1, 2, 3, 4, 5, 6\}$. Insert the appropriate symbol $\in$ or $\notin$ in the blank space:
$5 \dots A$

Easy

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$(i) \{ P,R,I,N,C,A,L\} $	$(a) \{ x:x \text{ is a positive integer and is a divisor of } 18\} $
$(ii) \{ 0\} $	$(b) \{ x:x \text{ is an integer and } x^2 - 9 = 0\} $
$(iii) \{ 1,2,3,6,9,18\} $	$(c) \{ x:x \text{ is an integer and } x + 1 = 1\} $
$(iv) \{ 3, -3\} $	$(d) \{ x:x \text{ is a letter of the word } PRINCIPAL\} $

Write the following interval in set-builder form: $[6, 12]$

Similar Questions

From the sets given below,select equal sets:$A=\{2,4,8,12\}, B=\{1,2,3,4\}, C=\{4,8,12,14\}, D=\{3,1,4,2\}$$E=\{-1,1\}, F=\{0, a\}, G=\{1,-1\}, H=\{0,1\}$

List all the elements of the following set:$A = \{ x:x \text{ is an odd natural number} \}$

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From the sets given below,select equal sets:
$A=\{2,4,8,12\}, B=\{1,2,3,4\}, C=\{4,8,12,14\}, D=\{3,1,4,2\}$
$E=\{-1,1\}, F=\{0, a\}, G=\{1,-1\}, H=\{0,1\}$

List all the elements of the following set:
$A = \{ x:x \text{ is an odd natural number} \}$

Which of the following is a set? Justify your answer.
The collection of all boys in your class.

Let $A = \{1, 2, 3, 4, 5, 6\}$. Insert the appropriate symbol $\in$ or $\notin$ in the blank space:
$5 \dots A$