Question

If p is the hypothesis of a conditional statement and q is the conclusion, which is represented by ~p → ~q?a-the original conditional statementb-the inverse of the original conditional statementc-the converse of the original conditional statementd-the contrapositive of the original conditional statement

Answer 1

Given a conditional statement $P \implies Q$, you have:

• The original statement is $P \implies Q$
• The inverse statement is the negation of both sides: $\lnot P \implies \lnot Q$
• The converse statement switches hypothesis and conclusion: $Q \implies P$
• The contrapositive statement is switching hypothesis and conclusion, and negating both: $\lnot Q \implies \lnot P$

So, in your case, you have the inverse statement.

Answer 2

NOT P → NOT Q is the INVERSE

Answer: B