Question

Determine if the argument is valid or invalid. Give a reason to justify answer.

If the bough breaks, then the cradle will fall.
The bough breaks.
The cradle will fall.

Valid by the law of detachment
Valid by the law of contraposition
Invalid by fallacy of the converse
Invalid by fallacy of the inverse
Valid by the law of syllogism
Valid by disjunctive syllogism

Answer 1

Valid by the law of detachment

Answer 2

The law of detachment states that if A happens, then B happens. So if A happened, B will happen.