Given: (1) Let a truth table have 512 rows. Then, the number of atomic propositions in the table is 8. (2) Let the universe of discourse of x and y be the set of real numbers. Then, the negation of "ForEvery x ThereExists y (x < y)" is "ThereExists x ForEvery y (x > y)". Select one of the following choices: a. (1) is False and (2) is True. ○ b. (1) is True and (2) is False. c. (1) and (2) are True. ○ d. (1) and (2) are False.

Operations Research : Applications and Algorithms
4th Edition
ISBN:9780534380588
Author:Wayne L. Winston
Publisher:Wayne L. Winston
Chapter2: Basic Linear Algebra
Section: Chapter Questions
Problem 15RP
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Given:
(1) Let a truth table have 512 rows. Then, the number of atomic propositions in the
table is 8.
(2) Let the universe of discourse of x and y be the set of real numbers. Then, the
negation of "ForEvery x ThereExists y (x < y)" is "ThereExists x ForEvery y (x > y)".
Select one of the following choices:
a. (1) is False and (2) is True.
○ b. (1) is True and (2) is False.
c. (1) and (2) are True.
○ d. (1) and (2) are False.
Transcribed Image Text:Given: (1) Let a truth table have 512 rows. Then, the number of atomic propositions in the table is 8. (2) Let the universe of discourse of x and y be the set of real numbers. Then, the negation of "ForEvery x ThereExists y (x < y)" is "ThereExists x ForEvery y (x > y)". Select one of the following choices: a. (1) is False and (2) is True. ○ b. (1) is True and (2) is False. c. (1) and (2) are True. ○ d. (1) and (2) are False.
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