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Unformatted text preview: b and c are real numbers and a 6 = 0, then there is a unique solution of the equation ax + b = c . 4. Another quantifcation: Question 30 on Page 103: Prove that there are infnitely many solutions in positive integers x , y and z to the equation x 2 + y 2 = z 2 . 5. Question 20 on Page 103: Show that if x is a nonzero real number then x 2 + 1 x 2 ≥ 2. 6. Question 33 on Page 108: Prove that if x is irrational and x ≥ 0 then √ x is irrational. 7. Question 10 on Page 102: Show that the product of two of the numbers 65 10008 2001 +3 177 , 79 12129 2399 +2 2001 , and 24 47935 8192 +7 1777 is nonnegative....
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This note was uploaded on 04/06/2010 for the course LAPS MATH 1190 taught by Professor Adachan during the Spring '10 term at York University.
 Spring '10
 ADACHAN

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