In the Cauchy-Schwarz inequality when exactly do we have equality? a. When is a multiple of O b. When |(v, w)| ≤ ||v||||w||, V W V = W

Q: 3. Consider the Cauchy-Schwarz inequality. That is, for u, v E R": Use some reasoning, or do some…

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Q: 3. Let a, b, c, d be real numbers with a < b and c < d. Find a one-to-one correspondence between (a,…

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Q: 6. Let a, x, and y be real numbers and let e > 0. Suppose that |x-a| < e and |y-a| < e. Use the…

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Q: F and H are sets of real numbers defined as follows. F={w|w<3} H={w | w≤9} Write FU H and FN H using…

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Q: 1. Prove the following results using the definition of |- and the triangle inequality. For n N and…

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Q: Suppose S is a nonvoid, bounded set of real numbers. Let - S denote the set {-x: ES}. Then inf(S)…

A: The answer provided below has been developed in a clear step by step manner

Q: Which of the following sets are equal? A = {0, 1, 2} B = {xE R| –1<x<3} C = {x E R|-1 <x< 3} D = {x€…

A: first we convert the given roster notation to set or interval notation then compare. ℝ=(-∞,…

Q: The interval ___________ consists of all real numbers for which x ≤ a.

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Q: 1) Prove both versions of the triangle inequality: for all a, b = R", we have ||a + b|| ≤ ||a|| + ||…

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Q: D and E are sets of real numbers defined as follows. D={y|y≤ 4} E={y | y>7} Write D n E and DU E…

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Q: Let a be any number from R, and let b be a number from R that is positive. The solution interval to…

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Q: Let S = {4, 6, 8} and T = {3, 5, 7}. Use set-roster notation to write each of the following sets,…

A: Number of element in all sets i.e  S×T ,T×S, S×S, T×T is  3.

Q: C and D are sets of real numbers defined as follows. C= {z | z>3} D={z | z≤9} Write CUD and Cn D…

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