The total number of cats and dogs kept in an animal boarding home is limited by regulations to a maximum of 15. There are 4 permanently boarded cats. A cat requires 2 units of accommodation and a dog requires 5. For owners of the home to make the business worthwhile, the total number of units occupied must not be less than 40.
(a) If there are x cats and y dogs write down three inequalities that satisfy the constraints.
(b) Represent these inequalities on a graph paper and find the solution set of the possible number of cats and
dogs that can be accommodated.
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