Question: Let A, B, U. Prove or disprove (with a counterexample) each of the following: a) A - C = B - C A

Let A, B, ⊂ U. Prove or disprove (with a counterexample) each of the following:
a) A - C = B - C ⇒ A = B
b) [(A ∩ C = B ∩ C) ∧ (A - C = B - C)] ⇒ A = B
c) [(A U C = B U C) ∧ (A - C = B - C)] ⇒ A = B

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