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00:51 ● Assignment details DIT984 H24 Diskret matematik för Datavetare Odd(x) "x is an odd number" = = • x>y="x is larger than y" (For examples on how to write formulas, please look at Extra Exercises on Predicate Logic.) Question 3 For each of the following statements, write the statement as a logical formula, say if it is true or not, and then prove or disprove the statement. (a.) "for all prime numbers p greater than 2, it is the case that (p+2) or (p+4) is also a prime number" (b.) "for all odd natural numbers n, it is the case that n²-1 is divisible by 4" State clearly what you try to establish in your argument, and why your argument proves or disproves the statement. (For examples on how to write down proofs, please look at Proof Methods and/or Extra Exercises on Predicate Logic.) Submit assignment 4 000 Dashboard Calendar To-do Notifications Inbox

00:51 ● Assignment details DIT984 H24 Diskret matematik för Datavetare Odd(x) "x is an odd number" = = • x>y="x is larger than y" (For examples on how to write formulas, please look at Extra Exercises on Predicate Logic.) Question 3 For each of the following statements, write the statement as a logical formula, say if it is true or not, and then prove or disprove the statement. (a.) "for all prime numbers p greater than 2, it is the case that (p+2) or (p+4) is also a prime number" (b.) "for all odd natural numbers n, it is the case that n²-1 is divisible by 4" State clearly what you try to establish in your argument, and why your argument proves or disproves the statement. (For examples on how to write down proofs, please look at Proof Methods and/or Extra Exercises on Predicate Logic.) Submit assignment 4 000 Dashboard Calendar To-do Notifications Inbox

Algebra: Structure And Method, Book 1
Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter3: Solving Equation And Problems
Section3.8: Proof In Algebra
Problem 5WE
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00:51 ● Assignment details DIT984 H24 Diskret matematik för Datavetare Odd(x) "x is an odd number" = = • x>y="x is larger than y" (For examples on how to write formulas, please look at Extra Exercises on Predicate Logic.) Question 3 For each of the following statements, write the statement as a logical formula, say if it is true or not, and then prove or disprove the statement. (a.) "for all prime numbers p greater than 2, it is the case that (p+2) or (p+4) is also a prime number" (b.) "for all odd natural numbers n, it is the case that n²-1 is divisible by 4" State clearly what you try to establish in your argument, and why your argument proves or disproves the statement. (For examples on how to write down proofs, please look at Proof Methods and/or Extra Exercises on Predicate Logic.) Submit assignment 4 000 Dashboard Calendar To-do Notifications Inbox
Transcribed Image Text:00:51 ● Assignment details DIT984 H24 Diskret matematik för Datavetare Odd(x) "x is an odd number" = = • x>y="x is larger than y" (For examples on how to write formulas, please look at Extra Exercises on Predicate Logic.) Question 3 For each of the following statements, write the statement as a logical formula, say if it is true or not, and then prove or disprove the statement. (a.) "for all prime numbers p greater than 2, it is the case that (p+2) or (p+4) is also a prime number" (b.) "for all odd natural numbers n, it is the case that n²-1 is divisible by 4" State clearly what you try to establish in your argument, and why your argument proves or disproves the statement. (For examples on how to write down proofs, please look at Proof Methods and/or Extra Exercises on Predicate Logic.) Submit assignment 4 000 Dashboard Calendar To-do Notifications Inbox
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