1975 AHSME Problems/Problem 3
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Which of the following inequalities are satisfied for all real numbers which satisfy the conditions
, and
?
Solution
Solution by e_power_pi_times_i
Notice if ,
, and
are
, then we can find
,
, and
to disprove
and
. For example, if
, then
and
are disproved. If
, then
is disproved. Therefore the answer is
.