Which of the following are examples of the null set

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

Vedclass pdf generator app on play store
Vedclass iOS app on app store

$\{ x:x$ 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 $7$

Similar Questions

Match each of the set on the left described in the roster form with the same set on the right described in the set-builder form:

$(i)$  $\{ P,R,I,N,C,A,L\} $ $(a)$  $\{ x:x$ is a positive integer and is adivisor of $18\} $
$(ii)$  $\{ \,0\,\} $ $(b)$  $\{ x:x$ is an integer and ${x^2} - 9 = 0\} $
$(iii)$  $\{ 1,2,3,6,9,18\} $ $(c)$  $\{ x:x$ is an integer and $x + 1 = 1\} $
$(iv)$  $\{ 3, - 3\} $ $(d)$  $\{ x:x$ is aletter of the word $PRINCIPAL\} $

 

The smallest set $A$ such that $A  \cup  \{1, 2\} = \{1, 2, 3, 5, 9\}$ is

Write the following sets in roster form :

$\mathrm{F} =$ The set of all letters in the word $\mathrm{BETTER}$

Write the set $\{ x:x$ is a positive integer and ${x^2} < 40\} $ in the roster form.

Write the following intervals in set-builder form :

$\left[ { - 23,5} \right)$