2014 AMC 10A Problems/Problem 7
Problem
Nonzero real numbers ,
,
, and
satisfy
and
. How many of the following inequalities must be true?
$\textbf{(A)}\ 0\qquad\textbf{(B)}\ 1\qquad\textbf{(C)}\ 2\qquad\textbf{(D)}}\ 3\qquad\textbf{(E)}\ 4$ (Error compiling LaTeX. Unknown error_msg)
Solution
Clearly, must be true (do you see why?)
Consider . Clearly, we have
and
. Note that
and
are false, so our answer is
See Also
2014 AMC 10A (Problems • Answer Key • Resources) | ||
Preceded by Problem 6 |
Followed by Problem 8 | |
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