True or false? an indirect proof assumes the opposite of what needs to be proved and then arrives at a contradiction

The correct answer is:

True.

Explanation:

We can also call an indirect proof a "proof by contradiction."  We have to show that all alternatives to the statement we're trying to prove are false. We start out assuming the opposite of the statement we are trying to prove.  We are then led to a contradiction, which is two statements that cannot both be true. This shows us that the assumption we made earlier is impossible, so it is false. This means the statement to be proven must be true.

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step-by-step explanation: