Determine the truth value for the following where the domain is real numbers. Justify your answer
for all x for all y such than if x

Question

Determine the truth value for the following where the domain is real numbers. Justify your answer 
for all x for all y such than if x<y then x^2 < y^2

anonymous · Answer

@hartnn Can u help me with this question

anonymous · Answer

@UnkleRhaukus Can u help me with this question

unklerhaukus · Answer

to disprove, all you need to find is a single counter example

hartnn · Answer

A sentence of the form "If A then B" is true unless A is true and B is false.

anonymous · Answer

Where I am confused is if i chose x =1 and y=1 then x<y is false and x^2 <y^2 is also false and a false and a false yields TRUE 
So how or what do u actually think for solving this kind of problem ?

unklerhaukus · Answer

you need to show  
 when a at least one case of       x < y        is true
                                              x^2 <  y^2   is false

anonymous · Answer

But what if for some other case x<y is false and x^2<y^2 is also false ?

anonymous · Answer

How would I know in the exam how to solve it ?

unklerhaukus · Answer

the case when 
 x<y is false 
does not effect the truth value of 
for all x for all y such than if x<y then x^2 < y^2

anonymous · Answer

I am really sorry for keeping but i dont get this stuff 
what if the question is "there is x for all y such that id x<y then x^2 <y^2 ?