Question

Find the points of the plane which satisfy the following inequalities.
$|z|⩽3$

Answer 1

$\left|z\right|\le 3$

Let $z=x+y$ ;

$\left|z\right|=\sqrt{x^2+y^2}\le 3$

$x^2+y^2\le 9$

Which consist of all points of the circumference as well as interior of the circle with center $(0,0)$ ans radius $=3$