Question

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

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

can someone work this out and show me how to do it plz and thank u

Answer 1

For the converse, switch the hypothesis and the conclusion.
For the inverse, negate both the hypothesis and the conclusion.

Answer 2

@mertsj
Thank you! I got the last two backwards!
Here's the correct answer:

For a given statement "if p then q"
p->q
1. hypothesis : p
2. conclusion : q
3. contrapositive : ~q -> ~p ( logically equivalent to p -> q )
4. inverse : ~p -> ~q
5. converse : q -> p