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Convex Optimization: Theory and Applications
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Which of the following sets is convex?
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A
The set of all points in the plane that lie in a triangle.
💡 Explanation:
A convex set is a set where, for any two points in the set, the line segment connecting them lies entirely within the set. In this case, the triangle is a convex set because any line segment connecting two points in the triangle lies entirely within the triangle.