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Question
Which of the following is not a convex set?
Options
{(x, y) : 2x + 5y < 7}
{(x, y) : x2 + y2 ≤ 4}
{x :|x| = 5}
{(x, y) : 3x2 + 2y2 ≤ 6}
Solution
{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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