By shading the unwanted regions, show the region defined by the set of inequalities $x+y⩾5$, $y⩽2$ and $y⩾0$

Write down the three inequalities that define the unshaded triangular region R.

The unshaded region in diagram represents the set of inequalities $y⩾0$, $y+2x⩾2$ and $x+y<4$. Write down the pair of integers $\left(x,y\right)$ that satisfies all the inequalities.

In the diagram, the unshaded region represents the set of inequalities $x⩽6$, $0⩽y⩽6$ and $x+y⩾4$. Find the greatest and least possible values of $3x+2y$ subject to these inequalities.

In the diagram the unshaded region represents the set of inequalities $x+2y⩾6$, $y⩽x$ and $x<4$. Find the greatest possible value of $2x+y$ if $x$ and $y$satisfies all these inequalities?