5. Let C be the unit disk and let S be the unit square. In other words, 0: {(m,y) E R2 : x2 +312 3 1} and S = {(x,y) E R2 21 3 any 3 1}. Make a sketch of C' and S to make sure that you see what they are. a) Show that |%S| = ISI. Hint: This should take very little work. b) Use the SchroderBernstein theorem to prove that '0' = '5'. G) Let 5'1 and 52 be any regions in R2 dened by \"shapes\" (hexagons, triangles, ellipses, rectangles, etc ....... ) which have an interior (i.e. they are not dots or lines). Do not give a formal proof, but explain in a couple of sentences how the Schroder-Bernstein theorem can be used to prove that ISII = ISZI (Hint: you can assume that the operation of scaling by a positive factor and the operation of translation are both bijections)