1. Construct as truth table for the simple statement "a". 2. Construct a truth table for the complex statement "a & b". 3. Now construct a truth table for the argument: 1. a &b 2. :. a There should be three separate tables. We haven't learned truth tables for a simple statement, but think about what you would need to show the possible truth values for a simple statement (how many rows and columns) and do your best. Do the same thinking for "a & b" -- that is, how many ways can this statement be true or false? How many columns and rows will you need to show this? Refer to the
1. Construct as truth table for the simple statement "a". 2. Construct a truth table for the complex statement "a & b". 3. Now construct a truth table for the argument: 1. a &b 2. :. a There should be three separate tables. We haven't learned truth tables for a simple statement, but think about what you would need to show the possible truth values for a simple statement (how many rows and columns) and do your best. Do the same thinking for "a & b" -- that is, how many ways can this statement be true or false? How many columns and rows will you need to show this? Refer to the
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
![1. Construct as truth table for the simple statement "a".
2. Construct a truth table for the complex statement "a &
b".
3. Now construct a truth table for the argument:
1. a &b
2. :. a
There should be three separate tables. We haven't learned
truth tables for a simple statement, but think about what
you would need to show the possible truth values for a
simple statement (how many rows and columns) and do
your best. Do the same thinking for "a & b" -- that is, how
many ways can this statement be true or false? How many
columns and rows will you need to show this? Refer to the](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa13eef44-f673-4796-be37-c768f494742c%2F463e2ad9-bba5-49ad-8b20-816276f8ce68%2Flrl5y7h_processed.jpeg&w=3840&q=75)
Transcribed Image Text:1. Construct as truth table for the simple statement "a".
2. Construct a truth table for the complex statement "a &
b".
3. Now construct a truth table for the argument:
1. a &b
2. :. a
There should be three separate tables. We haven't learned
truth tables for a simple statement, but think about what
you would need to show the possible truth values for a
simple statement (how many rows and columns) and do
your best. Do the same thinking for "a & b" -- that is, how
many ways can this statement be true or false? How many
columns and rows will you need to show this? Refer to the
Expert Solution
![](/static/compass_v2/shared-icons/check-mark.png)
Step 1
The logical symbol "" is used to denote "AND". The logical symbol "→" is used to denote "IF..THEN".
The truth table of can be made as follows.
a | b | |
T | T | T |
T | F | F |
F | T | T |
F | F | T |
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