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blackbird02
 one year ago
Help in proving this inequality using the concepts or theorems on the properties of real numbers
blackbird02
 one year ago
Help in proving this inequality using the concepts or theorems on the properties of real numbers

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blackbird02
 one year ago
Best ResponseYou've already chosen the best response.0Prove that if a>0, b<0, then \[ab+\frac{ b }{ a }<0\]

triciaal
 one year ago
Best ResponseYou've already chosen the best response.1dw:1442641989956:dw

blackbird02
 one year ago
Best ResponseYou've already chosen the best response.0what does ve stand for?

triciaal
 one year ago
Best ResponseYou've already chosen the best response.1sorry, ve = negative and +ve = positive

blackbird02
 one year ago
Best ResponseYou've already chosen the best response.0I'm sorry, but I still don't get it. What would be my starting equation in the proving?

zzr0ck3r
 one year ago
Best ResponseYou've already chosen the best response.1\(ab<0 \text{ and } \frac{a}{b}<0\) so \(ab+\frac{a}{b}<0\)

blackbird02
 one year ago
Best ResponseYou've already chosen the best response.0@zzr0ck3r How would I prove this using the concepts or theorems on the properties of real numbers?

blackbird02
 one year ago
Best ResponseYou've already chosen the best response.0@Hero any idea how to prove this?

blackbird02
 one year ago
Best ResponseYou've already chosen the best response.0@Hero just a clarification, in the seventh row, what is the equation? is it ab<0 +b/a<0 Or b/a<0 should be on another line?

Hero
 one year ago
Best ResponseYou've already chosen the best response.1It's one line: Two inequalities being added together

blackbird02
 one year ago
Best ResponseYou've already chosen the best response.0Oh, okay. I get it now. Thank you so much!

Hero
 one year ago
Best ResponseYou've already chosen the best response.1It's written exactly as it Should be

triciaal
 one year ago
Best ResponseYou've already chosen the best response.1@hero can you explain the step where you have "flip sign"?

Hero
 one year ago
Best ResponseYou've already chosen the best response.1b is negative If you multiply both sides of a>0 by a negative number, you have to invert the inequality symbol

blackbird02
 one year ago
Best ResponseYou've already chosen the best response.0@Hero Thank you so much!

triciaal
 one year ago
Best ResponseYou've already chosen the best response.1sorry, well thanks but that's the only place we differ on why a negative times a positive is negative. multiplication is group addition and we have a constant times a negative entity so it is more negative.

zzr0ck3r
 one year ago
Best ResponseYou've already chosen the best response.1"multiplication is group addition" ?

triciaal
 one year ago
Best ResponseYou've already chosen the best response.1@zzr0ck3r yes example 3 * 2 = 2 + 2 + 2 etc

triciaal
 one year ago
Best ResponseYou've already chosen the best response.1maybe repeated addition is better

zzr0ck3r
 one year ago
Best ResponseYou've already chosen the best response.1addition is the operation on the reals as a group multiplication is the other operation on the reals as a ring

zzr0ck3r
 one year ago
Best ResponseYou've already chosen the best response.1how would you write out (1/2)*(1/3) in those terms?

zzr0ck3r
 one year ago
Best ResponseYou've already chosen the best response.1google groups and rings.

zzr0ck3r
 one year ago
Best ResponseYou've already chosen the best response.1we start with a group an one operation addition we extend this idea to another operation called multiplication, once we have two operations and a few more properties we have a ring. we then include multiplicative inverses to close it up, and we get a field. All I am saying, is that sentence made no sense. ...
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