Question

True or false? If you took a true "if-then" statement, inserted a not in each clause, and reversed the clauses, the new statement would also be true. A. True B. False PLEASE READ THE QUESTION CAREFULLY!!!! ​

Answer 1

B. False

The key part of the question is that it asks about reversing the clauses of an "if-then" statement after inserting "not" in each clause.

Doing this reversal would change a true statement into a false one.

For example, consider the true statement:

• If it is raining, then the sidewalk is wet
• If we insert "not" in each clause and reverse the order, we get:
• If the sidewalk is not wet, then it is not raining

But this new statement is false - the sidewalk could be dry even if it is currently raining.

So in general, taking a true if-then statement, inserting not in each clause, and reversing the clauses would result in a false statement, not a true one.

The answer is B, False. Reversing the clauses and adding not in this way changes a true statement to a false one.