Daniel J Smith Custom TMUA alpha · Question 13

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Daniel J Smith Custom TMUA alpha · Q13

Logic & proof

Consider the statement $(*)$ about a real number $x$ :

There exists a real number $y$ such that $|x+y|<y$ .

Which one of the following describes all real values of $x$ for which $(*)$ is true?

Ano values of

x

Bexactly one value of

x

Call real

x

with

x<0

Dall real

x

with

x>0

Eall real values of

x

Fall real

x

except exactly one value

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