if the statement p, q are true statement and r, s are false then determine the truth value of (q^r)v(~p^s)
Answers
Answered by
21
Step-by-step explanation:
Truth values of p and q are T and truth values of r and s are F.
(p→q)∨(r→s)≡(T→T)∨(F→F)
≡T∨T≡T
Hence the truth value of the given statement is true.
Answered by
2
Truth Table
Given:
p, q, r, s is a statement in which p and q are true and r and s are false.
To find:
Truth value of (q ∧ r)∨(¬p ∧ s)
Explanation:
- For solving these type of question, there are various method, equation method , tabular method etc.
- For tabular method , we can define each column with each input.
- Determine the number of lines or rows in the table.
- The main operator has to be identified.
- Assign the basic input values to each.
- Calculate the values of each logical operator.
(q ∧ r)∨(¬p ∧ s)
First we will solve (q ∧ r) this part only,
(q ∧ r) will give false as q is true and r is false.
Then we will solve (¬p ∧ s)
i.e. negation of p and s
means false AND false will give false.
then we will combine both parts,
(q ∧ r)∨(¬p ∧ s) false OR false will give false.
Hence, the answer is false.
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