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Example Questions
Example Question #11 : Graphing Inequalities
Which of the following are solutions to the system of equations and
?
I)
II)
III)
Possible Answers:
II and III
II
I and II
I
Correct answer:
II and III
Explanation:
With this question, it is important to recognize the system of inequalities utilizes the “greater than or equal to” sign. does not fulfill wither inequality.
and
fulfill both conditions.
Example Question #12 : Graphing Inequalities
Which of the following graphs correctly describes the system of inequalities:
Possible Answers:
Correct answer:
Explanation:
After plotting the lines, shade the regions corresponding to each individual inequality. The area of intersection (in purple) is the solution to the system of inequalities. Another way to check your answer is to pick a point in all four regions delineated by the two equations and test those four coordinate points in the system of inequalities.
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