Question

) Determine the truth sets for the following predicates

(i) x, y ∈ Z such that x ≤ y

(ii) x, y ∈ Z such that (x + y = 0) ∨ (xy = 0).

Answer 1

(i)

for all cases $x ≤ y$

Which means that for every value of x, y has to be greater else the statement becomes false.

(ii)

x = 0, y $\in$ Z or

y = 0, x $\in$ Z