tmua 2022 Q13

tmua · Uk · paper2 1 marks Inequalities Solve Polynomial/Rational Inequality for Solution Set
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 $x$ is (*) true?
A no values of $x$
B exactly one value of $x$
C exactly two values of $x$
D all except exactly two values of $x$
E all except exactly one value of $x$ F all values of $x$
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Consider the statement (\textit{) 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 $x$ is (*) true?\\
A no values of $x$\\
B exactly one value of $x$\\
C exactly two values of $x$\\
D all except exactly two values of $x$\\
E all except exactly one value of $x$\\
F all values of $x$