Official papers

Official 2022 Paper 2 · Q13

Paper 2Logic & proof

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

(∗)(*) There exists a real number yy such that x−xy+yx-xy+y is negative.

For how many real values of xx is (∗)(*) true?

Ano values of xx
Bexactly one value of xx
Cexactly two values of xx
Dall except exactly two values of xx
Eall except exactly one value of xx
Fall values of xx

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