- #1

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0<a<b So a and b must be positive

a/2 <b I just divided one side by two instead of "dividing through" like you would an equation. The statement is still true, would this be a legal manipulation (for whatever reason)?

- Thread starter Ronnin
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- #1

- 168

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0<a<b So a and b must be positive

a/2 <b I just divided one side by two instead of "dividing through" like you would an equation. The statement is still true, would this be a legal manipulation (for whatever reason)?

- #2

Char. Limit

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Well, you might have to justify it, but it's still certainly true, because for positive b:

0<a<b So a and b must be positive

a/2 <b I just divided one side by two instead of "dividing through" like you would an equation. The statement is still true, would this be a legal manipulation (for whatever reason)?

b/2 < b

And by dividing all sides of the equation by 2, you get...

0<a/2<b/2<b --> 0<a/2<b

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