Problem: Define the set X = {(x,y)|x > 0,y ≤√x}.
(a) Sketch the set X in a graph.
(b) Is the set X convex? Explain why or why not.
(c) Is it closed? Explain why or why not.
(d) Is it bounded? Explain why or why not.
(e) Is it compact? Explain why or why not.