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
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:00:51
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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
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