In Exercises 21 and 22, mark each statement

Chapter 8, Problem 22E

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QUESTION:

In Exercises 21 and 22, mark each statement True or False. Justify each answer.a. If d is a real number and f is a nonzero linear functional defined on Rn, then [f : d] is a hyperplane in Rn.b. Given any vector n and any real number d, the set c. If A and B are nonempty disjoint sets such that A is compact and B is closed, then there exists a hyperplane that strictly separates A and B.d. If there exists a hyperplane H such that H does not strictly separate two sets A and B, then

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QUESTION:

In Exercises 21 and 22, mark each statement True or False. Justify each answer.a. If d is a real number and f is a nonzero linear functional defined on Rn, then [f : d] is a hyperplane in Rn.b. Given any vector n and any real number d, the set c. If A and B are nonempty disjoint sets such that A is compact and B is closed, then there exists a hyperplane that strictly separates A and B.d. If there exists a hyperplane H such that H does not strictly separate two sets A and B, then

ANSWER:

Solution 22E1. the given statement is .2

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