6.2 Determining Truth Values

Determine the truth value ~[(Bv~C)•~(Xv~Z)] Values for A,B, and C are true. Values for X,Y, and Z are false.

~=T [(B=T V=T ~=F C=T •=F ~=F (X=F V=T ~=T Z)=F True

Determine the truth value (X⊃Z)⊃[(B≡~X)•~(Cv~A] Values for A,B, and C are true. Values for X,Y, and Z are false.

(X=F ⊃=F Z)=F ⊃=T [ (B=T ≡=T ~=T X)=F •=F ~=F (C=T V=T ~=F A)=T [ False

Determine the truth value. A•X Values for A,B, and C are true. Values for X,Y, and Z are false.

A=T •=F X=F False

Determine the truth value (A•Y)V(~Z•C) Values for A,B, and C are true. Values for X,Y, and Z are false.

A=T •=F Y=F v=T ~=T Z=F •=T C=T True

Determine the truth value A⊃~(Zv~Y) Values for A,B, and C are true. Values for X,Y, and Z are false.

A=T ⊃=F ~=F Z=F v=T ~=T Y=F False

Determine the truth value. B•~Y Values for A,B, and C are true. Values for X,Y, and Z are false.

B=T •=T ~=T Y=F True

Determine the truth value B≡Y Values for A,B, and C are true. Values for X,Y, and Z are false.

B=T ≡=F Y=F False

Determine the truth value. B⊃~Z Values for A,B, and C are true. Values for X,Y, and Z are false.

B=T ⊃=T ~=T Z=F True

Determine the truth value (C≡~A)V(Y≡Z) Values for A,B, and C are true. Values for X,Y, and Z are false.

C=T ≡=F ~=F A=T V=T Y=F ≡=T Z=F True

Determine the truth value. Xv~Y Values for A,B, and C are true. Values for X,Y, and Z are false.

X=F v=T ~=T Y=F True

Determine the truth value (Y⊃C)•~(B⊃~X) Values for A,B, and C are true. Values for X,Y, and Z are false.

Y=F ⊃=T C= •=F ~=F B=T ⊃=T ~=T X=F False

Determine the truth value Y⊃~A Values for A,B, and C are true. Values for X,Y, and Z are false.

Y=F ⊃=T ~=F A=T True

Determine the truth value ~CvZ Values for A,B, and C are true. Values for X,Y, and Z are false.

~= F C=T v=F Z=F False

Determine the truth value ~(A•~Z) Values for A,B, and C are true. Values for X,Y, and Z are false.

~=F A=T •=T ~=T Z=F False

Determine the truth value ~Bv(Y⊃A) Values for A,B, and C are true. Values for X,Y, and Z are false.

~=F B=T v=T Y=F ⊃=T A=T True

Determine the truth value ~C≡Z Values for A,B, and C are true. Values for X,Y, and Z are false.

~=F C=T ≡=T Z=F True

Determine the truth value ~(A•~C)⊃(~X⊃B) Values for A,B, and C are true. Values for X,Y, and Z are false.

~=T A=T •=F ~=F C=T ⊃=T ~=T X=F ⊃=T B=T True

Determine the truth value. ~(Xv~B)•(~YvA) Values for A,B, and C are true. Values for X,Y, and Z are false.

~=T X=F v=F ~=F B=T •=T ~=T Y=F v=T A=T True

Determine the truth value ~X⊃Z Values for A,B, and C are true. Values for X,Y, and Z are false.

~=T X=F ⊃=F Z=F False

Determine the truth value ~[~X⊃C)≡~(B⊃Z)] Values for A,B, and C are true. Values for X,Y, and Z are false.

~=T [ ~=F (X=F ⊃=T C)=T ≡=F ~=T (B=T ⊃=F Z)]=F True