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Official 2022 Paper 2 · Q9

Paper 2Logic & proof

Consider the following statement:

(∗)(*) For all real numbers xx, if x<kx<k then x2<kx^2<k.

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

Ano real numbers
Bk>0k>0
Ck<1k<1
Dk≤1k\le1
E0<k<10<k<1
F0<k≤10<k\le1
Gall real numbers

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