(A) True.$A$ set $A$ is a subset of set $B$ if every element of $A$ is also an element of $B$.Here,the set $\{a\}$ has only one element,$a$.Since $a$

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(A) True.$A$ set $A$ is a subset of set $B$ if every element of $A$ is also an element of $B$.Here,the set $\{a\}$ has only one element,$a$.Since $a$ is also an element of the set $\{a, b, c\}$,the statement $\{a\} \subset \{a, b, c\}$ is true.

Class 11 Mathematics Set Theory Basic of Set theory

Easy

Examine whether the following statement is true or false:
$\{a\} \subset \{a, b, c\}$

A
True
B
False
C
D

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Class 11

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Set Theory

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Basic of Set theory

Write the following set in roster form:
$B = \{x : x \text{ is a natural number less than } 6\}$

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Show that $A \cap B = A \cap C$ does not necessarily imply $B = C$.

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In set-builder form,the empty set is represented by

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

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Which of the following sets is a subset of all other sets?

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Examine whether the following statement is true or false:$\{a\} \subset \{a, b, c\}$

Similar Questions

Write the following set in roster form:$B = \{x : x \text{ is a natural number less than } 6\}$

Show that $A \cap B = A \cap C$ does not necessarily imply $B = C$.

In set-builder form,the empty set is represented by

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

Which of the following sets is a subset of all other sets?

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Examine whether the following statement is true or false:
$\{a\} \subset \{a, b, c\}$

Write the following set in roster form:
$B = \{x : x \text{ is a natural number less than } 6\}$