Question
Show that the statement "For any real numbers a and b, implies that " is not true by giving a counter-example
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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
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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Question Text | Show that the statement "For any real numbers a and b, implies that " is not true by giving a counter-example |
Answer Type | Text solution:1 |
Upvotes | 150 |