Question

Show that the statement "For any real numbers a and b,  implies that " is not true by giving a counter-example

Medium
Solution
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The given statement can be written in the form of "if-then" as follows
If and are real numbers such that  then
Let and are real numbers such that 

The given statement has to be proved false.
For this purpose it has to be proved that if then 
To show this two real numbers and with  are required such that

Let and
and

However 
Thus it can be concluded that the given statement is false

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