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It is true that the body of an indirect proof you must show that the assumption leads to a contradiction. In math a proof is a deductive argument for a mathematical statement.
TrueIt is true that the body of an indirect proof you must show that the assumption leads to a contradiction. In math a proof is a deductive argument for a mathematical statement.
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Identify the conjecture to be proven.Assume the opposite of the conclusion is true.Use direct reasoning to show that the assumption leads to a contradiction.Conclude that the assumption is false and hence that the original conjecture must be true.
TrueIt is true that the body of an indirect proof you must show that the assumption leads to a contradiction. In math a proof is a deductive argument for a mathematical statement.
Another name for indirect proof is "proof by contradiction." In this method, the assumption is made that the statement to be proven is false, and then it is shown that this assumption leads to a contradiction. This contradiction implies that the original statement must be true.
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False. In an indirect proof, you assume the opposite of what you intend to prove is true. This method involves showing that this assumption leads to a contradiction, thereby confirming that the original statement must be true.
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The first step of an indirect proof is to assume that the statement you want to prove is false. This assumption leads to a logical contradiction when combined with established facts or previously proven statements. By demonstrating that this assumption leads to an impossible or contradictory conclusion, the original statement can be concluded as true. This method is commonly used in mathematical proofs to establish the validity of a theorem or proposition.
True. In an indirect proof, also known as proof by contradiction, you assume that the opposite of what you want to prove is true. Then, you show that this assumption leads to a contradiction, thereby demonstrating that the original statement must be true. This method effectively highlights the validity of the claim by eliminating the possibility of its inverse being true.
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Identify the conjecture to be proven.Assume the opposite of the conclusion is true.Use direct reasoning to show that the assumption leads to a contradiction.Conclude that the assumption is false and hence that the original conjecture must be true.