Chapter 1.5, Problem 26E

LetQ(x,y) be the statement " $x+y=x-y$ .” If the domain for both variables consists of all integers, what are the truth values?

a) $Q\left(1,1\right)$

b) $Q\left(2,0\right)$

c) $\forall yQ\left(1,y\right)$

d) $\exists xQ\left(x,2\right)$

e) $\exists x\exists yQ\left(x,y\right)$

f) $\forall x\exists yQ\left(x,y\right)$

g) $\exists y\forall xQ\left(x,y\right)$

h) $\forall y\exists xQ\left(x,y\right)$

i) $\forall x\forall yQ\left(x,y\right)$