Sara bought a meal in a town that has no sales tax. If she tipped 20% and paid a total of $18.96, what was the original cost of
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Suppose for the moment that the inequality holds for all :
Expanding everything gives
In particular, the inequality says that for any choice of
. But if
and
, then
while
.
So one possible choice of could be
and
. Then we get
but clearly it's not true that .