Question

Consider five variables and satisfying the following inequalities:
,
,
,
,
and
.
Between which two variables 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 and .
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 and .
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 and .
Using the chain rule, if and , then
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INEQ1-C
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We note the direct relationship between and .
We compare and : both are greater than but they are not directly related.
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Final Answer

A