MCQ
Which of the following is not a convex set?
- A${(x, y) ; 2x + 5y \leq 7}$
- B${(x, y) : x^{_2} + y^2 \leq 4}$
- ✓${x : |x| = 5}$
- D${(x, y) : 3x^2 + 2y^2 \leq 6}$
✓
Answer
Correct option: C.
${x : |x| = 5}$
$|x| = 5$ is not a convex set as any two points from negative and positive $x-$axis if are joined will not lie in set.
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