SAT Mathematics : Graphing Inequalities

Study concepts, example questions & explanations for SAT Mathematics

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Example Questions

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Example Question #31 : Graphical Representation Of Functions

Which of the following are solutions to the system of equations  and ?

I) 

II) 

III) 

Possible Answers:

II and III

I and II

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 #31 : Graphical Representation Of Functions

Which of the following graphs correctly describes the system of inequalities:

 

Possible Answers:

Screen shot 2020 09 29 at 12.57.38 pm

Screen shot 2020 09 29 at 12.57.54 pm

Screen shot 2020 09 29 at 12.58.09 pm

Screen shot 2020 09 29 at 12.57.43 pm

Correct answer:

Screen shot 2020 09 29 at 12.57.38 pm

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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