The table below shows the values of predicates Q, R, and S for every possible input. The domain for the input to each function is {1, 2, 3, 4). Ex: Q(3) is false because the entry in row 3, column Qis F. QRS 1F TF 2 FTF 3 FFF 4 TFF Determine the truth value of each expression. (1) ExVy(R(x)^((x + y) → ¬R(y))) [Pick (2) ExVy(Q(x) ^ ((x + y) → ¬Q (y))) Pick (3) ExVy(-S(x) ^ ((x + y) → S(y))) Pick
The table below shows the values of predicates Q, R, and S for every possible input. The domain for the input to each function is {1, 2, 3, 4). Ex: Q(3) is false because the entry in row 3, column Qis F. QRS 1F TF 2 FTF 3 FFF 4 TFF Determine the truth value of each expression. (1) ExVy(R(x)^((x + y) → ¬R(y))) [Pick (2) ExVy(Q(x) ^ ((x + y) → ¬Q (y))) Pick (3) ExVy(-S(x) ^ ((x + y) → S(y))) Pick
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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Transcribed Image Text:The table below shows the values of predicates Q, R, and S for every possible input. The
domain for the input to each function is {1, 2, 3, 4).
Ex: Q(3) is false because the entry in row 3, column Q is F.
QRS
1F TF
2 FTF
3 FF F
4 TFF
Determine the truth value of each expression.
(1) ExVy(R(x)^((x + y) → ¬R(y))) Pick
(2) ExVy(Q(x) ^ ((x + y) → ¬Q (y))) Pick
(3) ExVy(-S(x) ^ ((x y) → S(y))) Pick
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