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## 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.