68 views
Let Q(x, y) be the statement “x + y = x − y.” If the do-
main for both variables consists of all integers, what are
the truth values?

g) ∃y∀xQ(x, y)

Basically i done all the subquestions (a,b,c,d,e,f,h,i) from this question but confused in g subquestion please give answer

### 1 comment

Q(x,y) $\equiv$ x + y = x - y $\equiv$ y = 0

g) $\exists$y $\forall$x Q(x,y) $\implies$ There exists a y1, for all values of x such that x + y1 = x - y1.

This statement is True.

If y = 0, then for all values of x, x + 0 = x - 0 is True.