How do you make #4x<16# or #8x>16# into an absolute inequality?

1 Answer
Alan P.
Jul 22, 2015

Simplest answer #abs(x) >= 0#

Explanation:

#4x < 16 rarr x < 4#
#8x > 16 rarr x > 2#

#(4x < 16) or (8x > 16)#
#harr (x<4) or (x>2)#

...but this is true for any Real value of #x#

It is possible (maybe, even likely, that the inequality signs where switched); a more reasonable question would have been
"How do you make #4x > 16# or #8x <16# into an absolute value inequality?"

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