(B) set $A$ is a subset of set $B$ (denoted as $A \subset B$) if every element of $A$ is also an element of $B$. In the given sets,the element $a$ is

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(B) set $A$ is a subset of set $B$ (denoted as $A \subset B$) if every element of $A$ is also an element of $B$. In the given sets,the element $a$ is present in the first set ${a, b, c}$ but is not present in the second set ${b, c, d}$. Therefore,$\{a, b, c\} \not\subset \{b, c, d\}$.

Class 11 Mathematics Set Theory Basic of Set theory

Easy

Make correct statements by filling in the symbols $\subset$ or $\not\subset$ in the blank spaces:
$\{a, b, c\} \dots \{b, c, d\}$

A
$\subset$
B
$\not\subset$
C
D

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Class 11 Questions

Class 11

Mathematics Questions

Chapter

Set Theory

Subtopic

Basic of Set theory

Let $A = \{1, 2, \{3, 4\}, 5\}$. Which of the following statements is incorrect and why?
$1 \subset A$

Easy

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Which of the following sets is finite or infinite?
The set of months of a year.

Easy

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

Easy

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

Easy

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For any sets $A$ and $B$,show that $P(A \cap B) = P(A) \cap P(B).$

Medium

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Make correct statements by filling in the symbols $\subset$ or $\not\subset$ in the blank spaces: $\{a, b, c\} \dots \{b, c, d\}$

Similar Questions

Let $A = \{1, 2, \{3, 4\}, 5\}$. Which of the following statements is incorrect and why?$1 \subset A$

Which of the following sets is finite or infinite?The set of months of a year.

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

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

For any sets $A$ and $B$,show that $P(A \cap B) = P(A) \cap P(B).$

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Make correct statements by filling in the symbols $\subset$ or $\not\subset$ in the blank spaces:
$\{a, b, c\} \dots \{b, c, d\}$

Let $A = \{1, 2, \{3, 4\}, 5\}$. Which of the following statements is incorrect and why?
$1 \subset A$

Which of the following sets is finite or infinite?
The set of months of a year.

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

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