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Suppose p(x, y) is some binary predicate defined on a very small domain of discourse: just the integers 1, 2, 3, and 4. For each of the 16 pairs of these numbers, P(x, y) is either true or false, according to the following table (æ values are rows, y values are columns). 2 3 4 1 1 T F F F 2 F T T F 3 T T T T 4 F F F F For example, P(1, 3) is false, as indicated by the F in the first row, third column. Use the table to decide whether the following statements are true or false. ? ? ? ? 1. JyVxP(x, y). 2. VyZxP(2,y). 3. VælyP(x, y). 4. 3xVyP(x, y).

Suppose p(x, y) is some binary predicate defined on a very small domain of discourse: just the integers 1, 2, 3, and 4. For each of the 16 pairs of these numbers, P(x, y) is either true or false, according to the following table (æ values are rows, y values are columns). 2 3 4 1 1 T F F F 2 F T T F 3 T T T T 4 F F F F For example, P(1, 3) is false, as indicated by the F in the first row, third column. Use the table to decide whether the following statements are true or false. ? ? ? ? 1. JyVxP(x, y). 2. VyZxP(2,y). 3. VælyP(x, y). 4. 3xVyP(x, y).

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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Suppose P(x, y) is some binary predicate defined on a very small domain of discourse: just the integers 1, 2, 3, and 4. For each of the 16 pairs of these numbers, P(x, y) is either true or false, according to the following table (e values are rows, y values are columns). 2 3 4 1 T FF F 2 F T T F 3 TT TT 4 F FF F For example, P(1, 3) is false, as indicated by the F in the first row, third column. Use the table to decide whether the following statements are true or false. ? ? ? 1 ? 1. yvxP(x, y). 2. Vy³xP(x, y). 3. VxyP(x, y). 4. 3x y(x, y).
Transcribed Image Text:Suppose P(x, y) is some binary predicate defined on a very small domain of discourse: just the integers 1, 2, 3, and 4. For each of the 16 pairs of these numbers, P(x, y) is either true or false, according to the following table (e values are rows, y values are columns). 2 3 4 1 T FF F 2 F T T F 3 TT TT 4 F FF F For example, P(1, 3) is false, as indicated by the F in the first row, third column. Use the table to decide whether the following statements are true or false. ? ? ? 1 ? 1. yvxP(x, y). 2. Vy³xP(x, y). 3. VxyP(x, y). 4. 3x y(x, y).
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