Q.2. Answer the following, (04) i) If p.q.r are statements with truth values T, F, T respectively the truth value of the following (pvq) → (qvr)
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2
Answer:
Since, p is true and q is false.
∴p→q has truth value F.
Statement r has truth value T.
∴(p→q)∧r has truth value F.
Also, (p→q)∧∼r has truth value F.
Now, p∧q has truth value F and p∨r has truth value T.
∴(p∧q)∧(p∨q) has truth value F.
As, p∧r has truth value T.
Therefore, q→(p∧r) has truth value
Answered by
3
Answer:
Since, p is true and q is false.
∴p→q has truth value F.
Statement r has truth value T.
∴(p→q)∧r has truth value F.
Also, (p→q)∧∼r has truth value F.
Now, p∧q has truth value F and p∨r has truth value T.
∴(p∧q)∧(p∨q) has truth value F.
As, p∧r has truth value T.
Therefore, q→(p∧r) has truth value T.
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