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Mathematics 21 Online
OpenStudy (anonymous):

Assume a>0 and b<0.determine whether the statement is always,sometimes,or never true? 1.a>b 2.a

OpenStudy (goformit100):

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OpenStudy (anonymous):

Does anybody know how I do this I'm really confused.

OpenStudy (anonymous):

Any positive numbers is greater than any negative number. The second statement is the opposite of the first. Only one can be true. For the last statement, you have to know that \(|a|=a\) if \(a>0\), and that \(|b|=-b\) if \(b<0\). If \(b\) is negative, then \(-b\) must be positive. So when is \(a<-b\) ?

OpenStudy (anonymous):

So your saying the first statement is always and seconds never

OpenStudy (anonymous):

Yes.

OpenStudy (anonymous):

Thank you so much.😃

OpenStudy (anonymous):

You're welcome

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