write the statement in symbolic form.
Let p: the temperature is 90 degrees
Let q: The air conditioner is working
r: the apartment is hot.
If the apartment is hot and the air conditioning is working, then the tempurature is 90 degrees.
(r ^ q) arrow p
^ stands for and.
(the apartment is hot) and (the air conditioning is working) --> (the tempurature is 90 degrees)
The statement "If the apartment is hot and the air conditioning is working, then the temperature is 90 degrees" can be written in symbolic form as follows:
r ∧ q → p
Breaking down the symbolic form:
- r represents "the apartment is hot"
- q represents "the air conditioning is working"
- p represents "the temperature is 90 degrees"
- ∧ represents the logical operator "and"
- → represents the conditional statement "if...then"