TMUA 2022 Paper 2 Q9 — Worked Solution

P2·Inequalities, Logic & Quantifiers·6.5Official · 2022 · Q9

universal-quantifiercounterexamplequadratic-inequality

Consider the following statement:

(∗)

For all real numbers

x

, if

x < k

then

x^{2} < k

What is the complete set of values of

k

for which

(*)

is true?

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