Question 23/ Determinc whether the follawing is a valid translation from the English sentence to predicate logic. "Every screw must be either in the wall and screwed in. or unscrewed and not in the wall." (V screws | : (screw_in_wall A screwed) v(-(screw_in wall1) A-(screwed))) Truc Falso

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Question 23
Determine whether the follawing is a valid translation from the English sentence to
prodicate logic.
"Every screw must be either in the wall and screwed in. or unscrewed and not in the
wall."
(V screws | : (screw_in_wall A screwed)
v(-(screw_in_wall) A -(screwed) )
Truc
O False
Question 24 (.
Select all sets that arc disjoint to the following set X:
X= {r €Z|r =0 mod 5}
Rocall that
a =bmod n
mcans that z and bhave the same remainder when divided by n tequivalenty, a bis
divisible by n).
{1,3, 5, 7}
{4, 14, 21, 25}
{1,7, 8, 10}
{1,4,7,11}
{2,4, 6,8}
{3,8, 18}
Question 25
What can you concludo from the following information about an undirected
connected graph G (with no multiple edges or loops)?
G has 277 vertices
G has 388 edges
(Do not worry about whether or not a graph can exist with these conditions.)
O Na Hamilten path can also be Euler.
Ok is possible that a Hamiltan path could also be Euler (nat enough information to
concludz it can't happen, but cannot guarantee it will).
O There is a Hamilton path that is also Eulor.
O No Hamilton path cxists.
CS Scanned with CamScanner
Transcribed Image Text:Question 23 Determine whether the follawing is a valid translation from the English sentence to prodicate logic. "Every screw must be either in the wall and screwed in. or unscrewed and not in the wall." (V screws | : (screw_in_wall A screwed) v(-(screw_in_wall) A -(screwed) ) Truc O False Question 24 (. Select all sets that arc disjoint to the following set X: X= {r €Z|r =0 mod 5} Rocall that a =bmod n mcans that z and bhave the same remainder when divided by n tequivalenty, a bis divisible by n). {1,3, 5, 7} {4, 14, 21, 25} {1,7, 8, 10} {1,4,7,11} {2,4, 6,8} {3,8, 18} Question 25 What can you concludo from the following information about an undirected connected graph G (with no multiple edges or loops)? G has 277 vertices G has 388 edges (Do not worry about whether or not a graph can exist with these conditions.) O Na Hamilten path can also be Euler. Ok is possible that a Hamiltan path could also be Euler (nat enough information to concludz it can't happen, but cannot guarantee it will). O There is a Hamilton path that is also Eulor. O No Hamilton path cxists. CS Scanned with CamScanner
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