look at the following conditionals: if cindy sees clowns perform, then she smiles. if cindy does not see…
look at the following conditionals: if cindy sees clowns perform, then she smiles. if cindy does not see clowns perform, then she does not smile. is the second conditional the contrapositive, converse, or inverse of the first conditional? contrapositive converse inverse
Answer
Answer:
inverse
Explanation:
Step1: Define conditional statements
Let (p) be "Cindy sees clowns perform" and (q) be "she smiles". The first conditional is (p\rightarrow q). The second conditional is (\neg p\rightarrow\neg q).
Step2: Recall definitions of related conditionals
The contra - positive of (p\rightarrow q) is (\neg q\rightarrow\neg p). The converse is (q\rightarrow p). The inverse is (\neg p\rightarrow\neg q). Since the second conditional is (\neg p\rightarrow\neg q), it is the inverse of the first conditional.