let A,B,X be non empty sets.A|B ={x : x E A and x ~E B. prove (A')' = A

Question

i have identified that the statement (A')' = A, is in fact a true statement.

and i must prove that A{x : x E A and x~E}

this would prove that the set is empty which is incorrect.

i can figure out how to prove this statement true.

Answer 1

Given the following sets.

A = {0, 1, 2, 3}
B = {a, b, c, d}
C = {0, a, 2, b}

Find A  C

{0, 1, 2, 3}

{a, b, c, d}

{0, a, 2, b}

empty set

{0, 2}