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1. Let x be a real number, and x > 1. Prove 1 < sqrt(x) and...

1. Let x be a real number, and x > 1. Prove 1 < sqrt(x) and sqrt(x) < x.

2. If x is an integer divisible by 4, and y is an integer that is not, prove x + y is not divisible by 4.

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