In Example 2, what is the significant difference between the statements ~ (p ∧ d) and ~p ∧ ~d?
EXAMPLE 2 Joining Statements Using And
Consider the following statements:
p: The tenant pays utilities. d: A $150 deposit is required.
a) Express the statement “It is not true that: the tenant pays utilities and a $150 deposit is required” symbolically.
b) Write the statement ~p ∧ ~d in English.
SOLUTION:
a) This sentence has the form ~(p ∧ d).
b) This tenant does not pay utilities and a $150 deposit is not required.
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