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Question: q3 a define 1 5 ...

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Q3.

(a). Define 𝑆1 = {𝑛𝜖ℕ | 5 ≤ |𝑛| ≤ 73}

(i). Construct the elements of 𝑆1

(ii). Compute Card(𝑆1 )

(b). Define 𝑆2 = {𝑛 ∈ ℤ| 5 ≤ |𝑛| ≤ 73}

(i).Construct the elements of 𝑆2

(ii). Compute Card(𝑆2 )

(c). Let A = {𝑛𝜖ℕ | 𝑛 ≤ 20} Define 𝑆1 = {𝑛𝜖𝐴 | 2 𝑑𝑖𝑣𝑖𝑑𝑒𝑠 𝑛} 𝑆2 = {𝑛𝜖𝐴 | 𝑛 𝑖𝑠 𝑎 𝑝𝑟𝑖𝑚𝑒 𝑛𝑢𝑚𝑏𝑒𝑟}

(i). Construct 𝑆1 (ii). Construct 𝑆2

(iii). Construct 𝑆1 ∪ 𝑆2

(iv).Compute Card(𝑆1 )

(v). Compute Card(𝑆2 )

vi). Compute Card(𝑆1 ∪ 𝑆2

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