Which inequality matches the graph?
2 answers
Answers
The fourth option is the correct one-5p+4> 14-5p>10-p>2
The graph shows p > 2. There is no line under the "greater than" sign since we want to exclude the endpoint p = 2. This is what the open hole indicates.Solve each of the answer choices to see which leads to p > 2----------------Choice A5p+4 > 145p+4-4 > 14-45p > 105p/5 > 10/5p > 2So we found the answer on the first try. Let's check the others----------------Choice BThis will follow the same exact steps as choice A above, but instead we'll have an underline under each "greater than" sign. As explained above, there is no underline. So we can rule out choice B.----------------Choice C5p-4 > 145p-4+4 > 14+45p > 185p/5 > 18/5p > 3.6We can eliminate choice C----------------Choice D-5p+4 > 14-5p+4-4 > 14-4-5p > 10-5p/(-5) < 10/(-5) ... inequality sign flipsp < -2 We can eliminate choice D----------------So the only answer is choice A
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