Write the set $A = \{ 1,4,9,16,25, \ldots .\} $ in set-builder form.
Write the set $A = \{ 1,4,9,16,25, \ldots .\} $ in set-builder form.
We may write the set $\mathrm{A}$ as
$A = \{ x:x$ is the square of a natural number $\} $
Alternatively, we can write
$A = \{ x:x = {n^2},{\rm{ }}$ where $n \in N{\rm{\} }}$
Similar Questions
The set $A = \{ x:x \in R,\,{x^2} = 16$ and $2x = 6\} $ equals
The set $A = \{ x:x \in R,\,{x^2} = 16$ and $2x = 6\} $ equals
List all the elements of the following sers :
$A = \{ x:x$ is an odd natural number $\} $
List all the elements of the following sers :
$A = \{ x:x$ is an odd natural number $\} $
The number of non-empty subsets of the set $\{1, 2, 3, 4\}$ is
The number of non-empty subsets of the set $\{1, 2, 3, 4\}$ is
In each of the following, determine whether the statement is true or false. If it is true, prove it. If it is false, give an example.
If $x \in A$ and $A \not\subset B$, then $x \in B$
In each of the following, determine whether the statement is true or false. If it is true, prove it. If it is false, give an example.
If $x \in A$ and $A \not\subset B$, then $x \in B$
Are the following pair of sets equal ? Give reasons.
$A = \{ 2,3\} ,\quad \,\,\,B = \{ x:x$ is solution of ${x^2} + 5x + 6 = 0\} $
Are the following pair of sets equal ? Give reasons.
$A = \{ 2,3\} ,\quad \,\,\,B = \{ x:x$ is solution of ${x^2} + 5x + 6 = 0\} $