Question: (4) Prove the following set theory identities by using set builder notation to convert set notation to and from propositional formulas. For example, to prove

(4) Prove the following set theory identities by using set builder

(4) Prove the following set theory identities by using set builder notation to convert set notation to and from propositional formulas. For example, to prove (3)(b) one could write (AC)(CB)={xx(AC)x(CB)}={x((xA)(xC))((xC)(xB))}={xF(xC)(xC)(xA)(xB)}={xF(xA)(xB)}={xF}= (a) (BA)(CA)=(BC)A (b) (AB)C=(AC)(BC). (c) C(AB)=(CA)(CB). (d) (AB)(AB)=(AB)(BA)

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