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(A) null set (or empty set) is a set that contains no elements.For the set of odd natural numbers divisible by $2$:An odd number is of the form $2n +

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${x : x 	ext{ is an odd natural number and } x 	ext{ is divisible by } 2}$

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(A) null set (or empty set) is a set that contains no elements.For the set of odd natural numbers divisible by $2$:An odd number is of the form $2n + 1$,where $n$ is an integer.By definition,an odd number is not divisible by $2$.Therefore,there are no odd natural numbers divisible by $2$.Thus,the set is a null set (denoted by $\emptyset$ or $\{\}$).

Which of the following is an example of the null set?
Set of odd natural numbers divisible by $2$.

Similar Questions

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

Which of the following pairs of sets are equal? Justify your answer.
$A = \{ n : n \in \mathbb{Z} \text{ and } n^2 \le 4 \}$ and $B = \{ x : x \in \mathbb{R} \text{ and } x^2 - 3x + 2 = 0 \}$.

The set $A = \{ x : x \in \mathbb{R}, x^2 = 16 \text{ and } 2x = 6 \}$ is equal to

State which of the following sets are finite or infinite:
$\{ x:x \in N \text{ and } x^2 = 4 \}$

The set $A = \{ x : x \in \mathbb{R}, x^2 = 16 \text{ and } 2x = 6 \}$ is equal to

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Which of the following is an example of the null set?Set of odd natural numbers divisible by $2$.

Similar Questions

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

Which of the following pairs of sets are equal? Justify your answer.$A = \{ n : n \in \mathbb{Z} \text{ and } n^2 \le 4 \}$ and $B = \{ x : x \in \mathbb{R} \text{ and } x^2 - 3x + 2 = 0 \}$.

The set $A = \{ x : x \in \mathbb{R}, x^2 = 16 \text{ and } 2x = 6 \}$ is equal to

State which of the following sets are finite or infinite:$\{ x:x \in N \text{ and } x^2 = 4 \}$

The set $A = \{ x : x \in \mathbb{R}, x^2 = 16 \text{ and } 2x = 6 \}$ is equal to

Vedclass Test Series

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Which of the following is an example of the null set?
Set of odd natural numbers divisible by $2$.

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

Which of the following pairs of sets are equal? Justify your answer.
$A = \{ n : n \in \mathbb{Z} \text{ and } n^2 \le 4 \}$ and $B = \{ x : x \in \mathbb{R} \text{ and } x^2 - 3x + 2 = 0 \}$.

State which of the following sets are finite or infinite:
$\{ x:x \in N \text{ and } x^2 = 4 \}$