Provide an appropriate response
-Which of the following statements are true? I: If A and B are convex sets then A + B is convex.
II: A four dimensional polytope always has the same number of vertices and edges.
A)II
B)Neither I or II
C)Both I and II
D)I

Question

Quizplus · Accepted Answer

I is true because the sum of two convex sets is also convex, which follows from the definition of convexity. II is false because the number of vertices and edges in a polytope can vary depending on its shape and dimensionality; there's no rule that they must be equal in a four-dimensional polytope.

Provide an Appropriate Response