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Quantifiers
- Thread starter annie
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Re: quantifiers
For example: the statement in a) says "for any integer \(\displaystyle n\), there is some integer \(\displaystyle m\) such that \(\displaystyle n^2<m\).
Is that true or false?
Well then, you must spend some time learning to translate each statement. That is the first step.in these i dont understand how to express the answer of any of the following ,can i tell all the truth values or some single,if so then how
For example: the statement in a) says "for any integer \(\displaystyle n\), there is some integer \(\displaystyle m\) such that \(\displaystyle n^2<m\).
Is that true or false?
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Re: quantifiers
If it is false then give a counter-example.
If the statement is true then say so.i want to know the answer is only true or false or i have to give counter example to express it completely
If it is false then give a counter-example.
- Jan 30, 2012
- 2,577
Re: quantifiers
You'll have to think about the meaning of these statements; there is no way around it. For example, for $n=5$, can you find an integer $m$ such that $n^2=25<m$? What about for $n=0$, $n=-5$ and every other integer $n$?For example: the statement in a) says "for any integer \(\displaystyle n\), there is some integer \(\displaystyle m\) such that \(\displaystyle n^2<m\).