Symbolic Logic Worksheet 1 Name
1. Given a: y < 6
b: y > 1
Let the domain = {1, 2, 3, 4, 5, 6, 7, 8}
a) For what values of y is a ∧b true?
b) For what values of y is a ∨b true?
2. Given r: I am an honor student.
s: I play football.
Write the statement represented by each of the following:
a) ~r
b) r ∧s
c) r ∧~s
d) ~r ∧s
e) r ∨s
f) r ∨~s
3. Create the following truth table for the statements given in problem 2.
r s ~r ~s r ∧s r ∧~s ~r ∧s r ∨s r ∨~s
T T
T F
F T
F F
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