If A = {2 ≤ x ≤ 5) and B = {3≤ x ≤6), find A UB, AB, and (AU B)(AB).

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Q: If A = {2 ≤ x ≤ 5) and B = {3≤ x ≤6), find A UB, AB, and (AU B)(AB).

A: Step 1:Given:SetA=x∣2≤x≤5SetB=x∣3≤x≤6Define the setsSet A: The elements of set A are {2,3,4,5}Set B:…

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Q: What conditions, if any, must be set forth in order for a + b to be equal to n(A U B)?

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Q: 5. Let A 3D, В %3 and C %3 Find a) (A · B)C b) А : (2С) c) ||B||2

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Q: 2. Evaluate: √₁² √2 - x + x da −

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Q: If a = (2, 0, 2), b =(4, 2,-2), and c = ax (bx c) = (a x b) x c = = (0, 2, 5), show that a x (bx c)…

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Q: 1. Determine the following, if g = [3, -2,5] and h = [4, 1, −6]. a) g + h b) g- h c) g.h d) Igl

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Q: Prove that A-B=An(-B) = (-B) – (-A) = −[(-A) U B]. Also, give three expressions for An B and AU B,…

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Q: If z≤2, show that |Im(5 + 2z - 3z³)| ≤ 33.

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Q: If ~v = 〈 4, 1, 6〉 and ~w = 〈3, 2, 3〉, find ~v · ~w and ~v × ~w.

A: If ~v = 〈 4, 1, 6〉 and ~w = 〈3, 2, 3〉, find ~v · ~w and ~v × ~w.

Q: If |z| ≤ 2, show that |Im(5 + 2z - 3z³)| ≤ 33.

A: We know, for a complex number z      i) |Im(z)| ≤ |z|      ii) |z̄| = |z| Also, for any two complex…