Final answer:
The truth value of the expression (p → q) ∧ ∼ r is false.
Step-by-step explanation:
To determine the truth value of the expression (p → q) ∧∼ r, we need to substitute the given truth values for p, q, and r. The given values are true for p, false for q, and false for r.
So, (p → q) becomes (true → false), which is false. And ∼ r becomes ∼ false, which is true.
Therefore, the truth value of the expression (p → q) ∧ ∼ r is false ∧ true, which is false.