Write the following sets in the set-builder form :
$\{ 1,4,9 \ldots 100\} $
Write the following sets in the set-builder form :
$\{ 1,4,9 \ldots 100\} $
$\{1,4,9 \ldots 100\}$
It can be seen that $1=1^{2}, 4=2^{2}, 9=3^{2} \ldots 100=10^{2}$
$\therefore \{ 1,4,9 \ldots 100\} = \{ x:x = {n^2},n \in N{\rm{ }}$ and $1\, \le \,n\, \le \,10\} $
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\} $
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\} $ |
Which of the following is the empty set
Which of the following is the empty set
Write down all the subsets of the following sets
$\{ a\} $
Write down all the subsets of the following sets
$\{ a\} $
Let $S=\{1,2,3,4\}$. The total number of unordered pairs of disjoint subsets of $S$ is equal to
Let $S=\{1,2,3,4\}$. The total number of unordered pairs of disjoint subsets of $S$ is equal to
- [IIT 2010]
State which of the following sets are finite or infinite :
$\{ x:x \in N$ and $x$ is prime $\} $
State which of the following sets are finite or infinite :
$\{ x:x \in N$ and $x$ is prime $\} $