Logical Value of Proposition with 2 Variables

[SquaredMuffinRoot]

What is the logical value of the following expression/proposition and why?



I know what the proposition means but I just don't know how to answer the question.
Can you please help me?

Thank you all!

 

[pka]

What is the logical value of the following expression/proposition and why?
View attachment 3349

I know what the proposition means but I just don't know how to answer the question.
Can you please help me?

You write "I know what the proposition means".
So tell us how you read that statement.

 

[SquaredMuffinRoot]

You write "I know what the proposition means".
So tell us how you read that statement.

There exists an y in the reals for every x in the naturals such that: x+y < 0
x+y < 0 <=> y< -x

What should I do next?

 

[pka]

There exists an y in the reals for every x in the naturals such that: x+y < 0
x+y < 0 <=> y< -x

Let's translate that into standard English.
"Some real number added to every natural number gives a negative number".
Is that true? Now if you need to prove it is false how would you do it?