A simple statement confused

[vvaann]

Hi all,

The following statement is not always true:

If a < b and a*b # 0, then 1/a > 1/b; with a and b are real numbers.

I failed to find a counter example of the above statement. Could someone please help?

Thanks

[mathie]

Consider a=-2 and b=-1

[vvaann]

-2 < -1
1/(-2) > 1/(-1)

This fits the statement.

I need a counter example which shows that the statement is wrong.

Regards,

[bluefly]

a = -2

b = 1

[vvaann]

Thanks, bluefly!