Question: set 1 q 20 - looking for a detailed worked solu *20. Define the symmetric difference A O B of two sets A and B

set 1 q 20 - looking for a detailed worked solu

*20. Define the symmetric difference A O B of two sets A and B to be AOB = (A - B) U(B - A). a) Draw a Venn diagram illustrating A DB. b) If A = { even numbers strictly between 0 and 20 }, B = { multiples of 3 strictly between 0 and 20 }, write down the set A O B. c) Explain why A DB can also be written as (A UB) - (An B). d) Suppose A, B and C are sets such that ADC = BOC. Prove that A = B. (Hint: You may use a Venn diagram to assist your argument.)

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