Two sets A and B are as under:
$A=\{(a,b)\in R\times R:|a-5|<1,|b-5|<1\}$ ; $B=\{(a,b)\in R\times R:4{(a-6)}^2+9{(b-5)}^2\le 36\}$ , then number of points of the form (a, b) where a & b are integers  $\in$  B – A is 

$A=\{(a,b)\in R\times R:|a-5|<1,|b-5|<1\}$ 
Let  $a-5=x,b-5=y$
Set A contains all points inside  $\left|x\right|<1,\left|y\right|<1$
$B=\{(a,b)\in R\times R:4{(a-6)}^2+9{(b-5)}^2\le 36\}$ 
set B contains all points inside or on  $\frac{{(x-1)}^2}{9}+\frac{y^2}{4}=1$
$\therefore (\pm 1,\pm 1)$  lies inside the ellipse
Hence  $A\subset B$.