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Math 3300 HW1: Background, Absolute Value Inequality, and Square Root Inequality - Prof. E, Assignments of Mathematical Methods for Numerical Analysis and Optimization

California State University (CSU) - East BayMathematical Methods for Numerical Analysis and Optimization
Prof. Ellen Veomett

Math 3300 homework problems for the first assignment. The problems include a request to describe mathematical background and interest in elementary analysis, proving an inequality using absolute value properties, and proving that the square root of 5 is less than 3 using the properties of an ordered field.

Typology: Assignments

Pre 2010

Uploaded on 09/17/2009

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koofers-user-ewj 🇺🇸

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Math 3300
Homework 1
1. Briefly describe your mathematical background and your interest in elementary
analysis.
2. Use the properties of the absolute value to show that
|x|−|y|≤|x−y|
3. Let √5 denote the real number whose square is 5. Prove that √5<3 using the
properties of an ordered field.
1

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Math 3300

Homework 1

  1. Briefly describe your mathematical background and your interest in elementary

analysis.

  1. Use the properties of the absolute value to show that

|x| − |y| ≤ |x − y|

  1. Let

5 denote the real number whose square is 5. Prove that

5 < 3 using the properties of an ordered field.