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Inequailities (1 Viewer)

mrcalkin

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Jan 6, 2009
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when does the "<" and ">" change as in flip ("<" to ">"). Something to do with minus. Can someone please tell me the rule so i can refresh my memory.
 

x3.eddayyeeee

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multiplying/dividing by a negative number
taking the recipricol of both sides.
.
both require you to change direction of the inequality sign.
 

99uaifohshiz

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whenever you multiply or divide by a negative number..
you MUST flip the sign around, otherwise if you substitute a number into x.. or whatever inequality... it wont be true for both inequalities (the original AND the one that you multiplied a negative number with). ill give you an example...

THE RIGHT WAY

x > 1
(mutiply both sides by negative 1)
-x < -1

you can easily check, by subbing any number into x to prove it.

let's substitute x = 2 (since x is always greater than one.. from x>1)
therefore, 2 > 1.
now, sub it into the second inequality..
-2 < -1
which is also correct (since -1 is always greater than -2!)

good luck :)
 

GUSSSSSSSSSSSSS

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lol wen i clicked on this i expected somethin different

but yeh 99fohshiz just forgot about when reciprocating both sides you also gotta swap the direction

but i think sumone already covered that
 

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