Prove each of the following statements a) Use the direct method to prove that if a < 0, b < 0,c< a, and d < b, then ab < cd. b) Use proof by contradiction that if 0 < a and a < 1 b, then <¹ b a

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A: Using the limit definition of big O and sigma definition we can prove this thing.

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Q: 2. Maximize z = subject to -x₂ + 3x₂ + x3 -x₁ + 2x₂ - 7x3 ≤ 6 x₁ + x₂ 3x3 ≤ 15 x; ≥ 0, j = 1, 2, 3.

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