If q is true, r is false, and s is true, what is the truth value of (~s∨q)∨r?truefalsecannot be determinedSubmit

The given statement is (~s∨q)∨r. We know that q is true, r is false, and s is true.

Step 1: Evaluate ~s. The tilde (~) is a NOT operator, which means it negates the truth value of s. Since s is true, ~s is false.

Step 2: Evaluate (~s∨q). The symbol ∨ is a logical OR operator, which means the statement is true if either or both of its components are true. Since ~s is false and q is true, (~s∨q) is true.

Step 3: Evaluate (~s∨q)∨r. Again, ∨ is a logical OR operator. Since (~s∨q) is true and r is false, (~s∨q)∨r is true.

So, the truth value of (~s∨q)∨r is true.