Math, asked by ajnik2003, 7 months ago

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 careenlyngdoh4
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 rahul123437
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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