Given D a a closed convex in R4 which consists of points [tex](1,x_2,x_3,x_4)[/tex] which satisfies that that [tex]0\leq x_2,0 \leq x_3 [/tex] and that [tex] x_2^2 - x_3 \leq 0[/tex]
The Attempt at a Solution
Then to show that either the point a: = (1,-1,0,1) or b:=(1,0,0,-1) is part of the convex set D.
They must satisfy the equation [tex]l = b \cdot t + (1-t) \cdot b [/tex] and
[tex]l = a \cdot t + (1-t) \cdot a [/tex] which proves that either of the two points lies on a line segment l which belongs to the convex set.
Am I on the right track?