(a)[2]
Three inequalities define the shaded region on the diagram. Write down those three inequalities.
(b)[1]
A different region, $R$, is given by the inequalities $x + y \leq 8$, $2y \leq x + 4$ and $y \geq a$, where $a$ is an integer. This region has $5$ points with integer coordinates. Write down the value of $a$.