Is a subset of the plane {(x1, x2); x1 > 0, x1x2 ≥ 1} convex? Justify.

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Q: Provide a direct proof for the argument. For every real numbers b and c, c≠0, |b/c|=|b|/|c|.

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Q: 3. Consider the number sequence 1, 14, 51, 124, 245, 426, ... a. Find the next two terms of the…

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Q: Prove by induction: How do you prove that ∀x∈Z,n,m∈N(xn)m = xmn ? (where Z is set of integers and N…

A: Details are given in step 2 typed in latex