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(b) Consider the compound proposition [p → (-r Vg)], where!! A q: "The integer 17 is even", and r: "The polynomial (x - 3)2 is continuous at x = 3". p: "The integer 7 is prime", (i) Write down the truth values of p, q and r. Use these to determine the truth value of the given compound proposition. Justify your answer. (ii) Write down the contrapositive of this compound proposition in both symbolic logic and words.

(b) Consider the compound proposition [p → (-r Vg)], where!! A q: "The integer 17 is even", and r: "The polynomial (x - 3)2 is continuous at x = 3". p: "The integer 7 is prime", (i) Write down the truth values of p, q and r. Use these to determine the truth value of the given compound proposition. Justify your answer. (ii) Write down the contrapositive of this compound proposition in both symbolic logic and words.

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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(b) Consider the compound proposition [p → (-r Vg)], where// loath q: "The integer 17 is even", and p: "The integer 7 is prime", r: "The polynomial (2-3)2 is continuous at z = 3". (i) Write down the truth values of p, q and r. Use these to determine the truth value of the given compound proposition. Justify your answer. (ii) Write down the contrapositive of this compound proposition in both symbolic logic and words.
Transcribed Image Text:(b) Consider the compound proposition [p → (-r Vg)], where// loath q: "The integer 17 is even", and p: "The integer 7 is prime", r: "The polynomial (2-3)2 is continuous at z = 3". (i) Write down the truth values of p, q and r. Use these to determine the truth value of the given compound proposition. Justify your answer. (ii) Write down the contrapositive of this compound proposition in both symbolic logic and words.
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