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HOMEWORK 1 DUE WEDNESDAY JANUARY 14 AT THE BEGINNING OF CLASS • DNS stands for do not submit (1) DNS Make up a mathematical trick similar to the Birthday Trick. For example, pick a number from 1 to 10 and invent some steps so that you can guess the number. (2) DNS Review the Rules for Arithmetic handout. Make sure you are comfortable with the terminology. (3) Solve the equation 1 · x + 13 = 18 5 for x, justifying every step using the Rules of Arithmetic in the rational numbers Q. (4) DNS Solve the equation 4 · x + 3 = −1 for x, justifying every step you can using the Rules of Arithmetic in the rational numbers Q. Is there a step which you find hard to justify? 1