x= - 1 is a counter example for the given statement .
Given Statement : for all x , - x ≤ 1 / x .
To Show : a counter example for the given statement
⇒ We have to show for some x , - x is not less than equal to 1 / x .
If we take any positive real no. the statement will hold true , but for any negative real no. the statement is false .
So , any negative no. will be a counter example to this statement .
For instance , x = - 1 is a counter example of the given statement .
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