Which of following are examples of null set { x:x is a natural numbers, x,

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1.Set Theory

easy

Which of the following are examples of the null set

$\{ x:x$ is a natural numbers, $x\, < \,5$ and $x\, > \,7\} $

Option A

Option B

Option C

Option D

Solution

$\{ x:x$ is a natural numbers, $x\, < \,5$ and $x\, > \,7\} $ is a null set because a number cannot be simultaneously less than $5$ and greater than $7$

Standard 11

Mathematics

Make correct statements by filling in the symbols $\subset$ or $ \not\subset $ in the blank spaces:

$\{ x:x$ is a triangle in a plane $\} \ldots \{ x:x$ is a rectangle in the plane $\} $

easy

If $Q = \left\{ {x:x = {1 \over y},\,{\rm{where \,\,}}y \in N} \right\}$, then

easy

Which of the following pairs of sets are equal ? Justify your answer.

$A = \{ \,n:n \in Z$ and ${n^2}\, \le \,4\,\} $ and $B = \{ \,x:x \in R$ and ${x^2} – 3x + 2 = 0\,\} .$

easy

Write the following sets in roster form :

$C = \{ x:x{\rm{ }}$ is a two-digit natural number such that sum of its digits is $8\} $

easy

Examine whether the following statements are true or false :

$\{ 1,2,3\} \subset \{ 1,3,5\} $

easy

Which of the following are examples of the null set $\{ x:x$ is a natural numbers, $x\, < \,5$ and $x\, > \,7\} $

Solution

Similar Questions

Make correct statements by filling in the symbols $\subset$ or $ \not\subset $ in the blank spaces: $\{ x:x$ is a triangle in a plane $\} \ldots \{ x:x$ is a rectangle in the plane $\} $

If $Q = \left\{ {x:x = {1 \over y},\,{\rm{where \,\,}}y \in N} \right\}$, then

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

Write the following sets in roster form : $C = \{ x:x{\rm{ }}$ is a two-digit natural number such that sum of its digits is $8\} $

Examine whether the following statements are true or false : $\{ 1,2,3\} \subset \{ 1,3,5\} $

Which of the following are examples of the null set

$\{ x:x$ is a natural numbers, $x\, < \,5$ and $x\, > \,7\} $

Make correct statements by filling in the symbols $\subset$ or $ \not\subset $ in the blank spaces:

$\{ x:x$ is a triangle in a plane $\} \ldots \{ x:x$ is a rectangle in the plane $\} $

Which of the following pairs of sets are equal ? Justify your answer.

$A = \{ \,n:n \in Z$ and ${n^2}\, \le \,4\,\} $ and $B = \{ \,x:x \in R$ and ${x^2} – 3x + 2 = 0\,\} .$

Write the following sets in roster form :

$C = \{ x:x{\rm{ }}$ is a two-digit natural number such that sum of its digits is $8\} $

Examine whether the following statements are true or false :

$\{ 1,2,3\} \subset \{ 1,3,5\} $