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2. Which of the following are logically equivalent to the statement "Some luminous otters do not wear eyepatches." if U is the set of all otters, p(x) is the statement "x is luminous", q(x) is the statement "x wears an eyepatch", L is the set of all luminous otters, and Pis the set of all otters who wear an eyepatch? (Choose all that apply): I.LNP°6= Ø II. L°NP6= Ø III. Not all luminous otters wear an eyepatch. IV. Some otters who wear an eyepatch are not luminous. V. (X E U) (-(p(x) – q(x))) VI. (3x E U) (p(x) 1(x)

2. Which of the following are logically equivalent to the statement "Some luminous otters do not wear eyepatches." if U is the set of all otters, p(x) is the statement "x is luminous", q(x) is the statement "x wears an eyepatch", L is the set of all luminous otters, and Pis the set of all otters who wear an eyepatch? (Choose all that apply): I.LNP°6= Ø II. L°NP6= Ø III. Not all luminous otters wear an eyepatch. IV. Some otters who wear an eyepatch are not luminous. V. (X E U) (-(p(x) – q(x))) VI. (3x E U) (p(x) 1(x)

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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2. Which of the following are logically equivalent to the statement "Some luminous otters do not wear eyepatches." if U is the set of all otters, p(x) is the statement "x is luminous", q(x) is the statement "x wears an eyepatch", L is the set of all luminous otters, and P is the set of all otters who wear an eyepatch? (Choose all that apply): I. LN P° 6= Ø II. L°NP6= Ø III. Not all luminous otters wear an eyepatch. IV. Some otters who wear an eyepatch are not luminous. V. (x EU) (-(p(x) – q(x))) VI. (3x E U) (p(x) 1x))
Transcribed Image Text:2. Which of the following are logically equivalent to the statement "Some luminous otters do not wear eyepatches." if U is the set of all otters, p(x) is the statement "x is luminous", q(x) is the statement "x wears an eyepatch", L is the set of all luminous otters, and P is the set of all otters who wear an eyepatch? (Choose all that apply): I. LN P° 6= Ø II. L°NP6= Ø III. Not all luminous otters wear an eyepatch. IV. Some otters who wear an eyepatch are not luminous. V. (x EU) (-(p(x) – q(x))) VI. (3x E U) (p(x) 1x))
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