. A man sells pets.
• He always has at least 3 guinea-pigs to sell.
• He never keeps more than 7 hamsters in stock.
• He never runs out of hamsters to sell.
• The maximum number of rodents he can keep is 10.
a) Express these 4 conditions as inequalities.
(4 marks)
b) Sketch these as regions on one pair of axes.
(4 marks)

c) Indicate clearly the region which represents his permitted range of stock. Clearly indicate
the region (R) which represents his permitted range of stock by shading unwanted region.
(2 marks)
d) Can he keep:
i) 5 guinea-pigs and 6 hamsters?
(1 mark)
ii) 3 guinea-pigs and 6 hamsters?