1975 AMC 12 Question 7
AMC12 · 1975 AMC 12
For which nonzero real numbers $x$ is $\frac{|x-|x||}{x}$ a positive integer?
for negative $x$ only
for positive $x$ only
only for $x$ an even integer
for all nonzero real numbers $x$
for no nonzero real numbers $x$