* mathematician wishes to prove the following statement about the integer x. Statement (1): If x² is an odd integer then x is an odd integer. If the mathematician is able to prove the statement, "If x is an even integer, then x is an even integer," does this also prove statement (1)? Provida a ?

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
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Chapter8: Sequences, Series, And Probability
Section8.5: Mathematical Induction
Problem 41E
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* mathematician wishes to prove the following statement about the integer x.
Statement (1): If x2 is an odd integer then x is an odd integer.
If the mathematician is able to prove the statement, "If x is an even integer, then x is an even integer," does this also
prove statement (1)?
Provide a 3-5 sentences explanation of your answer
Transcribed Image Text:* mathematician wishes to prove the following statement about the integer x. Statement (1): If x2 is an odd integer then x is an odd integer. If the mathematician is able to prove the statement, "If x is an even integer, then x is an even integer," does this also prove statement (1)? Provide a 3-5 sentences explanation of your answer
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