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Workbook

3y 6

y x 0 

EXAMPLE 6: Describe the region of the plane defined by the system of inequalities.
x  0

y  0

EXAMPLE 7: A local pet rescue group has a total of 30 cages that can be used to
hold cats and dogs. Let x represents the number of cages used for cats, and let y represent the
number used for dogs.

a) Write a set of inequalities to express the fact that the number of cat and dog cages cannot be
negative.
b) Write an inequality to describe the constraint on the total number of cages for cats and dogs.
c) Graph the system of inequalities to find the region describing the available cages.

EXERCISES 6

1. Determine if the given point is a solution to the inequality.

a) 2x y 8  3, 5 ;   1, 10 ;   4, 2 ;  0,0

40 091math-wb-w6-(equations&inequalities-1)