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

The given statement is p∧(q∨r).

Step 1: Identify the values of p, q, and r. Here, p is true, q is false, and r is true.

Step 2: Evaluate the expression inside the parentheses first, which is (q∨r). The ∨ symbol represents the logical OR operation. The result of q∨r is true if either q is true, r is true, or both are true. In this case, q is false and r is true, so q∨r is true.

Step 3: Substitute the values of p and (q∨r) into the expression p∧(q∨r). This gives us true∧true.

Step 4: Evaluate the expression true∧true. The ∧ symbol represents the logical AND operation. The result of p∧q is true if both p and q are true. In this case, both are true, so the result is true.

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