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JNU SSS 2010 Question 51: Real analysis
Answer and worked solution
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Plain-text version
If x < y + ε, for all ε > 0, then (A) x > y (B) x ≤ y (C) x > 0 > y (D) x < 0 < y
Also written as: If x < y + epsilon, for all epsilon > 0, then
Real analysis has come up 38 times in 5 exams since 2005.
What this question tests
This question is on Supremum, infimum and epsilon arguments, part of Real analysis in Mathematics.
Greatest lower and least upper bounds, and proofs that work with arbitrarily small tolerances.
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Question from the JNU SSS 2010 paper. Solutions are TestStop's own. Not affiliated with or endorsed by any examination authority.