(B) The set is defined as the collection of all odd natural numbers.Since the set of natural numbers $N = \{1, 2, 3, 4, 5, \dots\}$ is infinite,the su

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(B) The set is defined as the collection of all odd natural numbers.Since the set of natural numbers $N = \{1, 2, 3, 4, 5, \dots\}$ is infinite,the subset of odd natural numbers $\{1, 3, 5, 7, \dots\}$ also contains an infinite number of elements.Therefore,the given set is infinite.

Class 11 Mathematics Set Theory Basic of Set theory

Easy

State which of the following sets are finite or infinite:
$\{ x : x \in N \text{ and } x \text{ is odd} \}$

A
Finite
B
Infinite
C
Empty
D
None of these

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Class 11

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Set Theory

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Basic of Set theory

Examine whether the following statement is true or false:
$\{a, b\} \not\subset \{b, c, a\}$

Easy

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With reference to a universal set,the inclusion relation $(\subseteq)$ of a subset in another is:

Medium

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

Easy

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

Easy

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If $aN = \{ ax : x \in N \}$,then the set $3N \cap 7N$ is .....$N$.

Medium

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State which of the following sets are finite or infinite:$\{ x : x \in N \text{ and } x \text{ is odd} \}$

Similar Questions

Examine whether the following statement is true or false:$\{a, b\} \not\subset \{b, c, a\}$

With reference to a universal set,the inclusion relation $(\subseteq)$ of a subset in another is:

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

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

If $aN = \{ ax : x \in N \}$,then the set $3N \cap 7N$ is .....$N$.

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State which of the following sets are finite or infinite:
$\{ x : x \in N \text{ and } x \text{ is odd} \}$

Examine whether the following statement is true or false:
$\{a, b\} \not\subset \{b, c, a\}$

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

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