I am new into convex optimization, and I am trying to solve a few questions from a book after reading its first chapter. The problem is, I am not getting the approach that I need to take to solve these questions.
For example, I need to evaluate if the following set is convex, concave or neither:
So, what I want to do is to plot the set out, so that I can then see if there can be drawn a line segment using 2 points on the set which do not pass through the set. If not, then it is convex. If yes, then it is concave. Am I right?
But I am not able to figure out how to draw the set. Could anyone help me? Or if my approach is not correct, and there is a better, more efficient approach for these kind pf problems, could anyone help me out with that as well?
Many thanks in advance.