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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.
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analysis.
|x| − |y| ≤ |x − y|
5 denote the real number whose square is 5. Prove that
5 < 3 using the properties of an ordered field.