p is true
q is false
r's status is unknown at this time
Tell whether each proposition is true, is false, or has unknown status at this time.
q --> r (I know this would be true because if the hypothesis is false, the truth value is always true)
(p^r) <--> r (The textbook says the answer is true but how would I know this? All I know is that p is true, so if I don't know r it can be either true or false)
(q or r) <--> r (The textbook says this is true but I don't get how. All I know is q is false)
Please help
Hello, kmjt!
Tell whether each proposition is true, is false, or has unknown status at this time.
I know this would be true because if the hypothesis is false, the truth value is always true.
Right!
The textbook says the answer is true but how would I know this?
All I know is that p is true, so if I don't know r, it can be either true or false.
Since is true, we have: .
If is true, we have: .
If is false, we have: .
The textbook says this is true but I don't get how. All I know is q is false
Since is false, we have: .
If is true, we have: .
If is false, we have: .