Consider the sets A and B given by: A = {(x,y) ∈R2 |x2 + y2 ≤1} B = {(x,y) ∈R2 |y ≥|x|+ a}. (a) Show that for a ≤−√2 the
Posted: Thu Jun 30, 2022 7:41 pm
Consider the sets A and B given by: A = {(x,y) ∈R2 |x2 + y2 ≤1}B = {(x,y) ∈R2 |y ≥|x|+ a}. (a) Show that for a ≤−√2 the union A ∪Bis convex. (b) Show that for −√2 < a ≤−1, the union A ∪B is notconvex. (c) What is you guess for a > −1?