This is in Geometry. Answer what is required. Provide clean and clear handwritten complete solutions. Minimize erasures and provide clear picture of the solutions thank you and Godbless.

B. Convex Set and Separation Direction: Answer the following figure 1 1.) Discuss the following questions B a.) Is a line a convex set? b.) Is a set consisting of only two points convex? D c.) Is a circle a convex set? A C d.) Is the region enclosed by a circle a convex set? e.) Does a point separate a plane? A space? A line? C 2.) Refer to figure 1 on the right. Which of the regions named by capital letters are convex set? D figure 2 3.) Refer to figure 2 on the right. The interiors, C and D, of the two circles are each convex set. a.) Is C n D a convex set? b.) Is C U D a convex set? 4.) If L is a line in the plane E, is the set of all points of E on one side of L a convex set? 5.) Does a half-plane contain its edge