State whether the propositions in parts (a) through (j) are TRUE or FALSE considering the following sets:

X = { a, 1, {a, a}, [a, 1], } Y = { a, 3, {a}, [1, a]}

(a) a X

(b) {a} X

(c) [a, 1] X

(d) [a, 1] Y

(e) X

(f) Y

(g) X

(h) {} X

(i) {[a, 3]} X Y

(j) { a, 1 } Y = { 1, a } Y