Examine whether the following statement is true or false:

If $\mathrm{A}=$ set of all circles of unit radius in a plane and $\mathrm{B}=$ set of all circles in the same plane then $\mathrm{A}\subset \mathrm{B}$.

If $\mathrm{A}=\left\{1\right\}$ and $\mathrm{B}=\left\{\right\{1\},2\}$ then show that $\mathrm{A}\not\subset \mathrm{B}$.

Write down all subsets of  set $A$:

$A=\left\{a\right\}$

Write down all subsets of the set $B$:

$B=\{a,b\}$

Write down all subsets of the set $C$:

$C=\left\{-2,3\right\}$

Write down all subsets of set $D$:

$D=\{-1,0,1\}$

Write down all subsets of set$E$:

$E=\varphi$

Write down all subsets of the set $F$:

$F=\left\{2,\left\{3\right\}\right\}$

Write down all subsets of set $G$:

$G=\left\{3,4,\{5,6\}\right\}$