![SOLVED: Problem 1 (Convex Sets): In this exercise, we study the convexity of various sets. (approx. 25 pts) a) Verify whether the following sets are convex or not and explain your answer! SOLVED: Problem 1 (Convex Sets): In this exercise, we study the convexity of various sets. (approx. 25 pts) a) Verify whether the following sets are convex or not and explain your answer!](https://cdn.numerade.com/ask_images/b92270d42ba3447082100d11c361fd56.jpg)
SOLVED: Problem 1 (Convex Sets): In this exercise, we study the convexity of various sets. (approx. 25 pts) a) Verify whether the following sets are convex or not and explain your answer!
![SOLVED: Prove that the intersection of two convex sets is a convex set. Then, use this problem to explain why the interior of a triangle is a convex set. SOLVED: Prove that the intersection of two convex sets is a convex set. Then, use this problem to explain why the interior of a triangle is a convex set.](https://cdn.numerade.com/ask_previews/1db2dab7-f44d-4b55-ab7a-ca663bc909e9_large.jpg)
SOLVED: Prove that the intersection of two convex sets is a convex set. Then, use this problem to explain why the interior of a triangle is a convex set.
Why the indifference curve of perfect complements regarded as convex while the indifference curve of function max {x, y} not? - Quora
![Convex and nonconvex sets. A convex set S is defined as if x , y ∈ S ,... | Download Scientific Diagram Convex and nonconvex sets. A convex set S is defined as if x , y ∈ S ,... | Download Scientific Diagram](https://www.researchgate.net/publication/226717592/figure/fig3/AS:302225588015117@1449067603914/Convex-and-nonconvex-sets-A-convex-set-S-is-defined-as-if-x-y-S-then-th-x-1-th.png)