Final answer:
Yes, both the inverse and contrapositive of a statement can have false truth values.
Step-by-step explanation:
Yes, both the inverse and contrapositive of a statement can have false truth values.
The inverse of a statement is formed by negating both the hypothesis and the conclusion. If the original statement is true, the inverse will be false. However, if the original statement is false, the inverse can be either true or false.
The contrapositive of a statement is formed by negating both the hypothesis and the conclusion, and then reversing them. Like the inverse, if the original statement is true, the contrapositive will be false. If the original statement is false, the contrapositive must also be false.