210hw8 - n . 4. Prove that n ! > n 3 for all n...

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Math 210 Homework 8 Due Monday April 18th 1. Solve the system of congruences: 7 x + 2 y 3 (mod 15) 9 x + 4 y 6 (mod 15) 2. Solve the system of congruences: x 1 (mod 4) x 8 (mod 9) x 10 (mod 25) 3. Prove that 5 n - 1 is divisible by 4 for all natural numbers
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Unformatted text preview: n . 4. Prove that n ! > n 3 for all n 6. 5. Prove that it is possible to ll an order for n 32 pounds of sh, given bottomless wheelbarrows full of 5-pound sh and 9-pound sh. 1...
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