Question

2) Find a counterexample for the given statement. 1 For all numbers x, -x ​

Answer 1

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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