Which of the following is not a convex set? - Vidyadip

MCQ

Which of the following is not a convex set?

✓
$\{(x, y) ; 2x + 5y ≤ 7\}$
B
$\{(x, y) : x^2+ y^2 ≤ 4\}$
C
$\{x : |x| = 5\}$
D
$\{(x, y) : 3x^2 + 2y^2 ≤ 6\}$

✓

Answer

Correct option: A.

$\{(x, y) ; 2x + 5y ≤ 7\}$

$|x| = 5$ 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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