Graphing $[-2,2] \times [-1,3]$ $-$ $\left\{\left(x,y\right):\ x^2+y^2\le 4\right\}$

Question

Question:

Let S = $[-2,2] \times [-1,3]$

Let T = $\left\{\left(x,y\right):\ x^2+y^2\le 4\right\}$

Graph $S$ $-$ $T$

Attempt:

I know that $S$ is a shaded rectangle in the given boundaries. $T$ is a shaded circle (boundary included) of radius $ 2$. $S-T$ means everything in $S$ that is not in $T$. I am not sure how to graph $S - T$.

Answer 1

Guide:

Draw the shaded rectangles, color with red color.

Draw the shaded circle, color it with blue and then remove anything with blue colors, that is remove the whole circle, even if any part of it was previously colored in red.

The remaining region is $S-T$.