The answer is indeed true. Negating and reversing a true conditional statement results in a statement that remains true, known as its contrapositive.
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.
In logic, when you negate and switch the clauses of a true conditional statement, the resulting statement is called the contrapositive. The contrapositive preserves truth, so the answer is true.
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