Question

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

  • A.
    and
  • B.
    and
  • C.
    and
  • D.
    and
  • E.
    and

Steps

ExplanationCalculationsHelp
We first make note of all the given inequalities.
We then connect the inequalities in a chain to compare s and t.
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 p and t.
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 r and t.
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 s and q.
Using the chain rule, if and , then
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INEQ1-C
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We compare p and r: both are greater than q but they are not directly related.
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Final Answer