Question

Consider the following set of inequalities: , , , , and . Between which two quantities is no relationship established?
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Answer Choices

  • A.
  • B.
  • C.
  • D.
  • E.

Steps

ExplanationCalculationsHelp
We first make note of all the given inequalities.
We then connect the inequalities in a chain to compare y and v.
Using the chain rule, if and and , then
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INEQ1-C
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We then connect the inequalities in a chain to compare y and x.
Using the chain rule, if and , then
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INEQ1-C
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We then connect the inequalities in a chain to compare z and v.
Using the chain rule, if and , then
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INEQ1-C
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We then connect the inequalities in a chain to compare w and v.
Using the chain rule, if and , then
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INEQ1-C
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We compare w and z: both are greater than x, but no direct relationship can be concluded.
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Final Answer

A