Provide an appropriate response
-Consider the set $S$ of points $\left[ \begin{array} { l } x \ y \end{array} \right]$ in $R ^ { 2 }$ such that $y = \frac { 1 } { x }$ and $x \geq \frac { 1 } { 2 }$. Are the sets $S$ and conv $S$ both closed?
A) No. Neither set is closed.
B) No. S is closed but conv $S$ is not.
C) Yes. They are both closed sets.
D) No. Conv S is closed but $\mathrm { S }$ is not.

Question

Quizplus · Accepted Answer

The set $S$ is closed because it is the graph of a continuous function on a closed interval. The set conv $S$ is also closed because it is the convex hull of a closed set.

Provide an Appropriate Response -Consider the Set SSS Of Points [xy]\left[ \begin{array} { l } x \\ y \end{array} \right][xy​]

Provide an Appropriate Response
-Consider the Set $S$ Of Points $\left[ \begin{array} { l } x \\ y \end{array} \right]$