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Speaking Mathematically

Speaking Mathematically . 1.1 Variables. They may take several values Is there a number with the property that doubling it and adding 3 the result is the same as squaring it? Is there a number x with the property that ?

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Speaking Mathematically

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  1. Speaking Mathematically

  2. 1.1 Variables They may take several values • Is there a number with the property that doubling it and adding 3 the result is the same as squaring it? • Is there a number x with the property that ? • Is there a number ☐ with the property that 2☐+3=☐2 ? • 1.1: #2,#4

  3. 1.1.1 Writing Sentences Using Variables UNIVERSAL (conditional) STATEMENTS A given property is true for all elements in a set • “All dogs have four legs” • Set: Dogs Property: it has four legs • “If it is a dog, it has four legs” Universal Conditional • “All students in this class are smart” • Set: students in this class • Property: it is smart • ”If it is a student in this class, it is smart” (Univ-Conditional) • 1.1: #8

  4. Universal-Existential Statements • “Any real number other than zero has a multiplicative inverse” • Universal: any (all) non-zero real numbers • Existential: each one has multiplicative inverse • “If it is a non-zero real number, it has a reciprocal” • “All TAMUCC students have a computer” • Universal: any TAMUCC student • Existential: Chosen the student it has a computer • “If it is a TAMUCC student, it has a computer” • 1.1: #9, #11

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