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Section 1.1 Part III

Section 1.1 Part III. English to Math and Counterexamples. Examples: Rewrite the English statement into a mathematical statement. x is more than y. x is five more than y. the number c is negative. eight less than the product of y is nine. x is a least two.

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Section 1.1 Part III

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  1. Section 1.1 Part III English to Math and Counterexamples

  2. Examples: Rewrite the English statement into a mathematical statement. • x is more than y. • x is five more than y. • the number c is negative. • eight less than the product of y is nine. • x is a least two.

  3. In mathematics, proving a statement is true can often involve rather complicated proofs. Proving that a statement is false is a much easier task. To prove that a statement is false, you must ____________________________, called a _______________. give 1 false statement counterexample

  4. Examples: Show a counter example for each statement. • All prime numbers are odd. • 2. The square root of a number is always less than or equal to the number. • 3. have to take the square root of a number less than 1 This counterexample disproves this property

  5. Your homework is……………………… Page 18 in the homework packet Section 1.1: 32-34, 50-56

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