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Clavis TMUA Set B Paper 2 · Q16

Paper 2Logic & proof

Consider the following statement (∗)(*) about a real number xx:

(∗)(*) For every real number yy, x+y2≥2yx+y^2\geq2y.

What is the complete set of values of xx for which (∗)(*) is true?

Ax<1x<1
Bx≤1x\leq1
Cx≥1x\geq1
Dx>1x>1
Eall real values of xx
Fthere are no such values of xx

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