Concept:We check which compound statement becomes false when p is true and q is false.Explanation:Let p=T and q=F.Option A: p∨q=T∨F=TThis statement is true.Option B: p∨∼q=T∨T=TThis statement is true.Option C: p∧∼q=T∧T=TThis statement is true.Option D: p∧q=T∧F=FThis statement is false.Answer:D: p∧q