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

Multiple Choice

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.