# Quantifiers

#### Plato

##### Well-known member
MHB Math Helper
Re: quantifiers

What progress have you made on any of these?

#### annie

##### New member
Re: quantifiers

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

#### Plato

##### Well-known member
MHB Math Helper
Re: quantifiers

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
Well then, you must spend some time learning to translate each statement. That is the first step.

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?

#### annie

##### New member
Re: quantifiers

i understand the symbols and the meaning of the statements but i want to know the answer is only true or false or i have to give counter example to express it completely

#### Plato

##### Well-known member
MHB Math Helper
Re: quantifiers

i want to know the answer is only true or false or i have to give counter example to express it completely
If the statement is true then say so.
If it is false then give a counter-example.

#### Evgeny.Makarov

##### Well-known member
MHB Math Scholar
Re: quantifiers

For example: the statement in a) says "for any integer $$\displaystyle n$$, there is some integer $$\displaystyle m$$ such that $$\displaystyle n^2<m$$.
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 $n$?