Consider the set A={1,4,7,8}. The partially ordered set (P(A),⊆) is the power set of A with elements partially ordered by inclusion. Which of the following sets are less than or equal to {4,8} in the inclusion order on P(A)? Select all that apply A. {1} B. {1,4} C. {4,7} D. {1,7} E. {8} F. {7} G. {4,8} H. {1,7,8} I. {1,4,7,8} J. ∅ K. {1,4,7} L. {4} M. {1,8} N. {7,8} O. {4,7,8} P. {1,4,8} Which of the following sets are incomparable with {4,8} in the inclusion order on P(A)? select all that apply. A. ∅ B. {8} C. {4,7} D. {1,4,8} E. {1,4,7,8} F. {4} G. {7} H. {7,8} I. {1,7,8} J. {4,7,8} K. {1,7} L. {4,8} M. {1} N. {1,4,7} O. {1,8} P. {1,4}

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Q: Identify the type of set (finite, infinite, or empty) as described by the following: 1. A = {stars…

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Set Theory

Every field in the present world involves a set. The theory of sets was developed by German mathematician Georg Cantor while working on the “problems of trigonometric series”.