1) Determine whether these statements are true or false. Pleaseexplain why so I can understand where the answers came from
a) ? ? {?}
b) ? ? {?, {?}}
c) {?} ? {?}
d) {?} ? {{?}}
e) {?} ? {?, {?}}
f ) {{?}} ? {?, {?}}
g) {{?}} ? {{?}, {?}}
2) Let A = {a, b, c}, B = {x, y}, and C = {0, 1}. Find
a) A x B x C
d) B x B x B
3) Show that if A and B are sets, then
b) (A ? B) ? B = A. (prove every step! you may use the fact thatsymmetric difference of sets is associative)
