- #1
WilcoRogers
- 9
- 0
Homework Statement
Using the definition of a convex set, show that the set in R^2
[itex]\{(x,y) \in R^2 \colon y \ge 1/x, x\ge 0\} [/itex]
Homework Equations
An object is convex if for every pair of points within the object, every point on the straight line segment that joins them is also within the object.
The Attempt at a Solution
I know the solution involves playing with inequalities, I just don't know how to set this one up. Any help is appreciated.