1) Determine whether these statements are true or false. Please explain why so I can understand...

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Advance Math

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)

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