Solution to Q1: Let A, B, C be three sets. Prove that (𝐴 βˆ’ 𝐡) βˆ’ 𝐢 … - Sikademy
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Archangel Macsika

Q1: Let A, B, C be three sets. Prove that (𝐴 βˆ’ 𝐡) βˆ’ 𝐢 = (𝐴 βˆ’ 𝐢) βˆ’ (𝐡 βˆ’ 𝐢) using following proof methods: a) Membership table b) Set builder notation and propositional logic Q2 : Find generalized union and intersection as defined below for each of the following collections of sets ⋃ 𝐴𝑖 ∝ 1 and β‹‚ 𝐴𝑖 ∞ 1 a) 𝐴𝑖 = {𝑖, 𝑖 + 1,𝑖 + 2, … } b) 𝐴𝑖 = {0,𝑖} c) 𝐴𝑖 = {βˆ’π‘–, βˆ’ 𝑖 + 1, … , βˆ’1, 0, 1, … , 𝑖 βˆ’ 1, 𝑖} d) 𝐴𝑖 = {βˆ’π‘–, 𝑖}

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Question ID: mtid-5-stid-8-sqid-795-qpid-680