Question

Find the distance between the given pair of points. (-12,21) text and (15,-15)The distance between the points (-12,21) and (15,-15) is (Simplify your answer.)

Answer 1

Ω is not convex because there exists a line segment connecting two points in Ω that goes outside the interval [−1,0]∪[1,2].

Step-by-step explanation:

To show that Ω is not convex, we need to find two points in Ω such that the line segment connecting them is not entirely contained in Ω. Let's consider the points -1 and 2. The line segment connecting them goes outside the interval [−1,0]∪[1,2], specifically in the region (-∞,-1)∪(0,1]. Therefore, Ω is not convex.