Let p, q, and r represent the following simple statements.
p: It is above 80 degrees.
q: It is raining.
r: I go swimming.
Write the symbolic statement in words.
(p v q) Λ~ r
First notice that this statement contains more than one connective. The connectives in this statement are “or” and “and.”
When a compound statement includes three simple statements and two of the simple statements are grouped using parentheses, a comma is used to separate the grouped statements from the other statement.
The compound statement “It is above 80 degrees or it is raining” is written symbolically as (p v q).
The last past of the statement is ~r. This represents “I do not go swimming.”
Thus, the symbolic statement (p v q) Λ ~ r means “It is above 80 degrees or it is raining, and I do not go swimming.”