The tables below show the values of predicates P(x, y), Q(x, y), and S(x, y) for every possible combination of values of the variables x and y. The row number indicates the value for x and the column number indicates the value for y. The domain for x and y is {1, 2, 3}.

P	1	2	3
1	T	F	T
2	T	F	T
3	T	T	F

Q	1	2	3
1	F	F	F
2	T	T	T
3	T	F	F

S	1	2	3
1	F	F	F
2	F	F	F
3	F	F	F

Indicate whether each of the quantified statements is true or false.

(a)

x y P(x, y)

(b)

x y Q(x, y)

(c)

x y P(y, x)

(d)

x y S(x, y)

(e)

x y Q(x, y)

(f)

x y P(x, y)

(g)

x y P(x, y)

(h)

x y Q(x, y)

(i)

x y S(x, y)