## Trexy 3 years ago Please Help!! Use the following statement to complete the given questions. If my mom has to work, then I babysit my little sister. a. The contrapositive of the conditional statement is b. The inverse of the conditional statement is c. The converse of the conditional statement is d. The hypothesis of the conditional statement is e. The conclusion of the conditional statement is

1. Calcmathlete

Ok, you do realize the original statement is p -> q right? I'm asking to see how to answer.

2. Trexy

yeah

3. Calcmathlete

Alright. a. Contrapositive = ~q -> ~p b. Inverse = ~p -> ~q c. Converse = q -> p d.Hypothesis = p e. Conclusion = q

4. Trexy

So this one is a Conditional Statement?

5. Calcmathlete

Yes.

6. Trexy

thanks a lot

7. Calcmathlete

np :)

8. Trexy

If I babysit my little sister, then my mom has to work.

9. Trexy

this would be Inverse, right?

10. Hunus

That would be the converse.

11. Hunus

The inverse would be if my mother doesn't have to work, then I don't have to babysit my little sister.

12. Calcmathlete

Sorry I'm late, but when the symbol ~ is in front of p or q, it means to negate it. FOr instance, ~p = If my mom does not have to work. If the order of p and q are switched, then you switch the order of the statements.

13. Trexy

Ok I understand now.. thank you