Which of the following sets are convex? - Vidyadip

Question

Which of the following sets are convex?

✓

Answer

$\{(\text{x},\text{y}):\text{y}\geq2,\text{y}\leq4\}$

Solution:
is the region between two parallel lines, so any line segment joining any two points in it lies in it.
Hence, it is a convex set.

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