Question 4 of 10
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
SUBM

Question

05-06-2024
Mathematics

Answered

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Question 4 of 10
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
SUBM

Sagot :

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GinnyAnswer GinnyAnswer · Answer 1 · 2024-06-05T12:06:05-04:00

Final answer:

The truth value of a statement can change when inserting 'not' and reversing clauses of a true 'if-then'.

Explanation:

False. When you insert a 'not' in each clause and reverse the clauses of a true 'if-then' statement, the new statement may not necessarily remain true. This is because the truth value of the statement is not automatically preserved through these operations.

For example, if the original statement is 'If it is raining, then the ground is wet,' after applying the changes, it becomes 'If it is not raining, then the ground is dry,' which can be false if the ground is not dry when it's not raining.

Therefore, altering a true 'if-then' statement by inserting 'not' in each clause and reversing the clauses does not always result in a true statement.

Learn more about Logic and Truth Values here:

https://brainly.com/question/30299407

Sagot :

Final answer:

Explanation:

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