Symbolic Logic Worksheet 1 Key
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? y = {2, 3, 4, 5}
b) For what values of y is a ∨b true? y = {1, 2, 3, 4, 5, 6, 7, 8}
2. Given r: I am an honor student.
s: I play football.
Write the statement represented by each of the following:
a) ~r I am not an honor student.
b) r ∧s I am an honor student and I play football.
c) r ∧~s I am an honor student and I do not play football.
d) ~r ∧s I am not an honor student and I play football.
e) r ∨s I am an honor student or I play football.
f) r ∨~s I am an honor student or I do not play football.
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 F F T F F T T
T F F T F T F T T
F T T F F F T T F
F F T T F F F F T
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