# Constructing counter examples

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#1
I'm having a bit of trouble constructing counter examples to questions! An example question would be "If x is not rational then x − 2/x is not rational". Any advice would be appreciated!
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6 years ago
#2
A start could be to try solving the equation x - 2/x = 0 for x.

0 is rational so if you can show that x is irrational then you're done. You can then use that solution for x as your counter-example.
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#3
Thank you! I think i may have read the question as (x-2)/x where it is supposed to x-(2/x). That might be why i was having problems.
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