Problem 38E

In, construct an algebraic proof for the given statement. Cite a property from Theorem for every step.

Cite a property from Theorem

Deriving a Set Difference Property

Construct an algebraic proof that for all sets A, B, and C,

(A ∪ B) – C = (A – C) ∪ (B – C).

Cite a property from Theorem 6.2.2 for every step of the proof.

Solution Let A, B, and C be any sets. Then

Exercise

For all sets A and B, A – (A ∩ B) = A – B.

AAEC 2104 HOME AND AUTOMOBILES DECISION MAKING PROCESS Evaluate your current position o Cash available for down payment, loan payments, maintenance expenses Set goals o Wants vs. needs are crucial Identify/evaluate alternatives o Do your homework: features, costs, expenses, etc. Make the decision Monitor the situation CAR DECISIONS Don’t buy a big new car right after graduation Main decisions: o Purchase a new car o Purchase a used car o Lease a car Rarely makes sense for consumers Can be a good idea for businesses o Zip cars Very short term rental, for a