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A16-Systems of Inequalities
Graph the solution set for each system of inequalities.
1)
𝑦≤−𝑥−2
𝑦≥−5𝑥+2
2)
𝑦>−𝑥−2
𝑦<−5𝑥+2
3)
2𝑦−4≤𝑥
𝑦+3<−2𝑥
4)
𝑥≤3
−3𝑦>−5𝑥−6
5) For the given graph below, circle ALL ordered pairs that are solutions to the system.
(−4,0)
(0, −4)
(4,0)
(0,4)
(2,3)
(−3,2)
(−3, −2)
(2, −3)
From the given graph, write the system of inequalities.
6)
7)
8) An entrance exam has two sections, a verbal section and a mathematics section. You can score a maximum of
1600 total points. For the admission, the school of your choice requires a math score of at least 600. Write a
system of inequalities to model scores that meet the school’s requirements.
9) A gardener wants to plant at least 7 tulips and rose plants in a garden, but no more than 4 roses plants. Write a
system of inequalities to model the situation. Don’t forget to define the variables!!
a. Write a system of inequalities to the number of tulips and roses the gardener needs to buy.
Don’t forget to define the variables!!
b. Graph the system to solve.
c. What is a possible number of tulips and roses the gardener could buy?