Pregunta: 5. Consider the open ball B={(x,y)∈R2:0

5. Consider the open ball $B=\left\{(x,y)\in R^2:0<x<5,1<y<6\right\}$. a. Sketch the set B. b. Describe (in set form) the line segment from $P=(1,2)$ to $Q(4,5)$. c. Find a point $\mathrm{R}$ in the line segment in (b) obtained by letting $\alpha =\frac{1}{6}$. d. Show that $R$ is in $B$. e. Does it follow that $B$ is convex? Explain.