TMUA 2022 Paper 2 Q13 — Worked Solution

P2·Algebra & Surds, Logic & Quantifiers·6.5Official · 2022 · Q13

existential-quantifierlinear-in-ydegenerate-case

Consider the statement

(*)

about a real number

x

(∗)

There exists a real number

y

such that

x - x y + y

is negative.

For how many real values of

x

(*)

true?

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