# Constructing counter examples

Watch
Announcements
#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!
0
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.
0
#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.
0
X

new posts
Back
to top
Latest
My Feed

### Oops, nobody has postedin the last few hours.

Why not re-start the conversation?

see more

### See more of what you like onThe Student Room

You can personalise what you see on TSR. Tell us a little about yourself to get started.

### Poll

Join the discussion

#### Do you think receiving Teacher Assessed Grades will impact your future?

I'm worried it will negatively impact me getting into university/college (185)
43.63%
I'm worried that I’m not academically prepared for the next stage in my educational journey (49)
11.56%
I'm worried it will impact my future career (33)
7.78%
I'm worried that my grades will be seen as ‘lesser’ because I didn’t take exams (89)
20.99%
I don’t think that receiving these grades will impact my future (43)
10.14%
I think that receiving these grades will affect me in another way (let us know in the discussion!) (25)
5.9%