Inequalities
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problemWhich is bigger?
Which is bigger, n+10 or 2n+3? Can you find a good method of answering similar questions?
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problemTet-trouble
Is it possible to have a tetrahedron whose six edges have lengths 10, 20, 30, 40, 50 and 60 units?
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problemNot continued fractions
Which rational numbers cannot be written in the form x + 1/(y + 1/z) where x, y and z are integers? -
problemBig, bigger, biggest
Which is the biggest and which the smallest of $2000^{2002}, 2001^{2001} \text{and } 2002^{2000}$?
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problemTetra inequalities
Can you prove that in every tetrahedron there is a vertex where the three edges meeting at that vertex have lengths which could be the sides of a triangle?
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