1) 2) In the domain of integers, let P(x,y) be the predicate " xy=12." Which of the following statement(s) is (are) true? (a) (x)(y)P(x,y) (b) (x)(y)(P(x,y)P(y,x)) (a) only (b) only Both (a) and (b) Neither (a) nor (b)In the domain of nonzero integers, consider the following predicates: Let N(x) be the statement "x=0." Let P(x,y) be the statement "xy =1." Translate the following statement into the symbols of predicate logic: For all integers x, there is some integer y such that if x=0, they xy=1. Which of the following translation(s) is (are) correct? (a) (x)(y)(N(x)P(x,y)) (b) (x)(y)(N(x)P(x,y)) (a) only (b) only Both (a) and (b) Neither (a) nor (b).

1. 1)
2)
In the domain of integers, let P(x,y) be the predicate " xy=12." Which of the following statement(s)
is (are) true? (a) (x)(y)P(x,y) (b) (x)(y)(P(x,y)P(y,x)) (a) only (b) only Both (a) and (b) Neither (a)
nor (b)In the domain of nonzero integers, consider the following predicates: Let N(x) be the
statement "x=0." Let P(x,y) be the statement "xy =1." Translate the following statement into the
symbols of predicate logic: For all integers x, there is some integer y such that if x=0, they xy=1.
Which of the following translation(s) is (are) correct? (a) (x)(y)(N(x)P(x,y)) (b) (x)(y)(N(x)P(x,y)) (a)
only (b) only Both (a) and (b) Neither (a) nor (b)