Logical question (venn)

[Function]

Hello everyone

 

A problem given in my maths book, translated in logical notations:

 

[math]\left(A,\neg(B\lor C)\right)=5[/math]

[math]\left(B,\neg (A\lor C)\right)=5[/math]

[math]\left(A\land B\right)=4[/math]

[math]\neg C=14[/math]

[math]\neg (A\lor B\lor C)=1[/math]

[math]\left(C\land A\right)\geq 5[/math]

[math]\left(B\land B\right)\geq 10[/math]

 

Asked:

 

[math]\left(C,\neg (A\lor B\right)=?[/math]

[math]\left((C\lor B),\neg A\right)=?[/math]

[math]\left(A\land B\land C\right)=?[/math]

 

Now I've found something, pretty stupid (using a venn-diagram):

 

[math]\left(C,\neg (A\lor B\right)=0[/math]

[math]\left((C\lor B),\neg A\right)=15[/math]

[math]\left(A\land B\land C\right)=0[/math]

 

Then all the given statements are still true...

 

Don't know if this is the wanted resolution..

 

Can anyone help me?

Thanks.

 

Function

Edited February 2, 2014 by Function