The tasks below will involve you considering the following sentences: A- All valid usernames contain seven letters and a number B - All valid passwords must contain at least one non-alphanumeric character C- All valid combinations contain a valid username and a valid password Task 1 - Choose one of the sentences above. Using that sentence explain the | 2.6 meaning of the terms "statement" and "predicate". Task 2- Construct a truth table based on the statements above. It should include columns for A, B, "А, "В, AVB, А^B, с, "с Task 3- Give the English equivalents for each of your column headings 2.7 2.9

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Logic & Boolean Algebra

2.6
Recognise examples of statements and predicates
Calculate truth values for compound statements by means of truth
tables
2.7
Demonstrate logical equivalence by means of truth tables
2.8
Construct and interpret quantified statements and find the negations
of such statements
2.9
2.10
Apply De Morgan's Law to simplify logic statements
Transcribed Image Text:2.6 Recognise examples of statements and predicates Calculate truth values for compound statements by means of truth tables 2.7 Demonstrate logical equivalence by means of truth tables 2.8 Construct and interpret quantified statements and find the negations of such statements 2.9 2.10 Apply De Morgan's Law to simplify logic statements
The tasks below will involve you considering the following sentences:
A- All valid usernames contain seven letters and a number
B - All valid passwords must contain at least one non-alphanumeric character
C- All valid combinations contain a valid username and a valid password
Task 1 - Choose one of the sentences above. Using that sentence explain the
2.6
meaning of the terms "statement" and "predicate".
Task 2- Construct a truth table based on the statements above. It should include
2.7
columns for A, B, "A,"B, AvB, A^B, C, "C
Task 3- Give the English equivalents for each of your column headings
Task 4- Giving explanations, use De Morgan's Law to simplify the following:
"(AVB ) v ("A^"B)
Task 5- Use a truth table to show that the original statement and your simplified
version are equivalent.
2.9
2.10
2.8
Transcribed Image Text:The tasks below will involve you considering the following sentences: A- All valid usernames contain seven letters and a number B - All valid passwords must contain at least one non-alphanumeric character C- All valid combinations contain a valid username and a valid password Task 1 - Choose one of the sentences above. Using that sentence explain the 2.6 meaning of the terms "statement" and "predicate". Task 2- Construct a truth table based on the statements above. It should include 2.7 columns for A, B, "A,"B, AvB, A^B, C, "C Task 3- Give the English equivalents for each of your column headings Task 4- Giving explanations, use De Morgan's Law to simplify the following: "(AVB ) v ("A^"B) Task 5- Use a truth table to show that the original statement and your simplified version are equivalent. 2.9 2.10 2.8
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