Describe a set which is NOT convex, but whose closure is convex.
Added by Jeffrey A.
Step 1
A set S is convex if for any two points x and y in S, the line segment connecting them is also in S. In other words, if we take any two points in the set, we can draw a straight line between them, and that line will be entirely contained within the set. Now, we Show more…
Show all steps
Close
Your feedback will help us improve your experience
Shannon K and 64 other Calculus 3 educators are ready to help you.
Ask a new question
Labs
Want to see this concept in action?
Explore this concept interactively to see how it behaves as you change inputs.
Key Concepts
Recommended Videos
Prove the intersection of two convex sets is convex
Likhit G.
Give an example of convex sets C and D that are disjoint and both closed (but not compact) that have no strictly separating hyperplane.
Supreeta N.
Is a set convex if it contains the midpoint of any pair of its points? If yes, prove it. If not, provide a counterexample. Please be compact and concise.
Adi S.
Recommended Textbooks
Calculus: Early Transcendentals
Thomas Calculus
Watch the video solution with this free unlock.
EMAIL
PASSWORD