Hard SAT and ACT Math Problem

System of Inequalities

Today I would like to give a hard math problem involving a system of inequalities. This type of question can show up on both the SAT and ACT. I will provide a full explanation for this problem tomorrow. In the meantime, feel free to leave your own solutions in the comments.

Level 5 System of Inequalities

y ≤    2x + 2
y ≥ –3x – 3

A system of inequalities and a graph are shown above (the graph is at the top of the post). Which section or sections of the graph could represent all of the solutions to the system?

A. Section I
B. Section IV
C. Sections II and III
D. Sections II and IV
E. Sections I, II and IV

More SAT and ACT Math Problems with Explanations

If you are preparing for the SAT or ACT, you may want to take a look at the Get 800 collection of test prep books.

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