(Solved): 6. Let (R2,(,)) be the coordinate plane with the entrywise order. (i) Write explicit ineq ...

6. Let $\left({\mathbb{R}}^2,(?,?)\right)$ be the coordinate plane with the entrywise order. (i) Write explicit inequalities satisfied by $x_1$ and $x_2$ for points $\left(x_1,x_2\right)?[(?1,?2),(1,3)]$ (ii) Draw the coordinate graph of $[(?1,?2),(1,3)]$ in the $x_1?x_2$ plane (iii) Draw the coordinate graph of the intersection $[(?1,?2),(1,3)]?[(?2,1),(2,2)]$ (iv) Is the intersection $[(?1,?2),(1,3)]?[(?2,1),(2,2)]$ itself a segment? If yes, write it in the form $\left[\left(a_1,a_2\right),\left(b_1,b_2\right)\right]$