(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

What are the truth sets of the following statements? List a few elements of the truth set if you can.

c)xis a real number and 5[itex]\in[/itex]{y[itex]\in[/itex]R|x[itex]^{2}[/itex]+y[itex]^{2}[/itex]<50}

3. The attempt at a solution

I believe this says 5 is a member of the set of possible values for y, while y is both a real number and satisfies the condition x^2 + y^2 < 50. Therefore, the set of possible values for x is just the real numbers -7 through 7, subject to the condition that x^2+y^2 < 50.

This seems too simple. Am I missing something here?

Alternatively, it may be saying that 5 is a real number and that it satisfies the condtion x^2+5^2 < 50, in which case x would be the set of real numbers between -sqrt(25) and +sqrt(25). I'm not sure which reading, if either, is correct.

Thanks in advance.

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# Homework Help: Variables and Truth Sets

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