Mathematics · Linear Programming
Which of the following geometric sets represents a set that is NOT a convex set?
Verified Solution4 OptionsUpdated: October 2026👁️1 View
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- 1A solid hypercube or a rectangle in R2
- 2A half-plane defined by { (x, y) : ax + by ≤ c }
- 3A solid circle defined by { (x, y) : x2 + y2 ≤ r2 }
- 4The set of points lying strictly outside a given circle, defined by { (x, y) : x2 + y2 > r2 }✓
Correct answer
The set of points lying strictly outside a given circle, defined by { (x, y) : x2 + y2 > r2 }
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