Question

if the statements p, q are true statements and r is false statement then determine the truth value of p v (q ^ r)​

Answer 1

SOLUTION

TO EVALUATE

If the statements p , q are true statements and r is false statement then determine the truth value of p ∨ (q ∧ r)

EVALUATION

The truth value of a compound statement is completely determined by the truth value of its sub statements . We shall use the numbers T and F to denote True and False statements respectively

Here the given statement is p ∨ (q ∧ r)

Since q is true statement and r is false statement

So truth value of ( q ∧ r ) is F

Again p is is true statement and ( q ∧ r ) is false statement

So truth value of p ∨ (q ∧ r) is T

FINAL ANSWER

The truth value of p ∨ (q ∧ r) is T

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Answer 2

Answer:

Truth values of p and q are T and truth values of r and s are F.

p∨(q∧r)≡T∨(T∧F)

≡T∨F≡T

Hence the truth value of the given statement is true.