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A system of inequalities and the corresp...


A system of inequalities and the corresponding graph are shown above. Which part of the graph could represent all of the solutions to the system?

A

A

B

B

C

C

D

D

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The correct Answer is:
D
Difficult:Medium:
Category: Heart of Algebra/ Inequalities
Strategic Advice: The solution to a system of inequalities is the region of the graph that satisfies both inequalities. Pay careful attention to which line is dashed and which solid as you analyze the regions of the graph.
Getting to the Answer: The solution set for the inequality `ygtx` is the union of the sections of the graph that are above the dashed line, which are A and D. The solution set for the inequality `3ylt-4x+6` is the union of the sections that are below set for the system of inequalities consists of all the points that satisfy both inequalities, which are contained within region (D).
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