Given, $|x| \neq x$
Options:
a) $x > -x$
b) $x < -x$
c) $x = -x$
d) Cannot be determined
My solution: If $|x| \neq x$ then $-x = x$ hence option c seems to be the answer. But the solution is option b. I'm not understanding the logic behind this.
2026-04-06 00:45:09.1775436309
How to use Modulus relation to compare two quantities?
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Hint: $$ |x|\ne x \Rightarrow x<0\Rightarrow -x>0 \Rightarrow x<-x $$