If p is false and q is true, what is the truth value of (p∧q)∨q?truefalsecannot be determinedSubmit

The truth value of (p∧q)∨q can be determined as follows:

Step 1: Substitute the given values of p and q into the expression. Here, p is false and q is true. So, the expression becomes (false ∧ true) ∨ true.

Step 2: Evaluate the expression inside the parentheses first, according to the rules of logical operators. The logical AND operator (∧) returns true if both operands are true, and false otherwise. So, false ∧ true = false. Now, the expression becomes false ∨ true.

Step 3: Evaluate the remaining expression. The logical OR operator (∨) returns true if at least one of the operands is true. So, false ∨ true = true.

Therefore, the truth value of (p∧q)∨q is true.