1.11: Past-paper question 5

(a) On the grid opposite, draw the line with equation

(i) $\displaystyle 3x - 4y = 12$

(ii) $\displaystyle y + 6 + 3x = 0$

(iii) $\displaystyle 3y = 18 - x$

(b) Show, by shading on the grid, the region $\displaystyle R$ defined by the inequalities

For all points in $\displaystyle R$, with coordinates $\displaystyle (x, y)$

Using values from your graph,

(c) find the least value of $\displaystyle P$ and the greatest value of $\displaystyle P$

Only use this grid if you need to redraw your graph.