Are the following pair of sets equal ? Give reasons.
$A = \{ 2,3\} ,\quad \,\,\,B = \{ x:x$ is solution of ${x^2} + 5x + 6 = 0\} $
$A = \{ 2,3\} ,\quad \,\,\,B = \{ x:x$ is solution of ${x^2} + 5x + 6 = 0\} $
The equation $x^{2}+5 x+6=0$ can be solved as:
$x(x+3)+2(x+3)=0$
$(x+2)(x+3)=0$
$x=-2$ or $x=-3$
$\therefore A=\{2,3\} ; B=\{-2,-3\}$
$\therefore A \neq B$
List all the elements of the following sers :
$E = \{ x:x$ is a month of a year not having $ 31 $ days ${\rm{ }}\} $
In rule method the null set is represented by
From the sets given below, select equal sets:
$A=\{2,4,8,12\}, B=\{1,2,3,4\}, C=\{4,8,12,14\}, D=\{3,1,4,2\}$
$E=\{-1,1\}, F=\{0, a\}, G=\{1,-1\}, H=\{0,1\}$
The number of non-empty subsets of the set $\{1, 2, 3, 4\}$ is
Write the following sets in the set-builder form :
$\{ 1,4,9 \ldots 100\} $