i think this is a misprint in my book

[zpupster]

Solve|x+1/x|>2

This is equivalent to | x2+1|
| x | >2


is this a mis print???

becasue i do not see this being the same.



zpupster

ps i am new here --where are the math fonts so i can type problems with the correct math symbols.

 

[Basketball girl]

Ya it is a misprint

 

[DrPhil]

Solve|x+1/x|>2

This is equivalent to | x2+1|
| x | >2


is this a mis print???

becasue i do not see this being the same.



zpupster

ps i am new here --where are the math fonts so i can type problems with the correct math symbols.

It is possible to write math in the LaTeX language, but that is quite a bit of bother. Mostly you can type inline, IF you use enough sets of parentheses to specify the order of operations fully. Also, use "^" to mean "raised to the power." For instance, x-squared is typed x^2. Subscripts may also be indicated with "_". Use (numerator)/(denominator) for fractions. The most important thing is to use enough ()!

It looks like your original problem needs one more set of ():
|(x + (1/x)| > 2
in LaTeX that might look like \(\displaystyle \displaystyle | x + \dfrac{1}{x} |>2\)

Then indeed you can place both terms over the common denominator of x and get
|(x^2 + 1)/x| > 2

Note that the numerator is always positive, so it can be taken outside the absolute-value operation:
(x^2 + 1)/|x| > 2

Is that enough to get past the confusion?