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| Question 295714:  do you change the sign when dividing by an negative or du you do it before
 Found 2 solutions by  PRMath, Fombitz:
 Answer by PRMath(133)
      (Show Source): 
You can put this solution on YOUR website! Do you change the sign when dividing by an negative or do you do it before? 
 This is a confusing question, because I'm not sure the type of problem you are referring to, given that there are many instances where you divide by a negative.
 
 For example, consider these rules:
 A positive divided by a negative is a negative.
 A negative divided by a negative is a positive.
 
 In those cases, you are changing the sign.
 
 If you are talking about inequalities, then you "flip" the sign when you divide by a negative.
 
 For example, you could solve for "X" in the problem below, and you'd have to flip the sign because you are dividing by a negative.  See the following:
 
 -2x < 6
 x > -3  (see how the sign flipped when we divided by -2?  And see how the answer became -3 because we divided a positive by a negative?)
 
 Here's another example:
 -3y > -9
 y < 3   (Again, the sign flipped because we divided by a negative. BUT, -9 divided by -3 gives a +3, so the answer was positive, which is also a changed sign).
 
 If you give a sample question, you may get a little more help.  I hope this helps you tho. :-)
Answer by Fombitz(32388)
      (Show Source): 
You can put this solution on YOUR website! Any time you multiply or divide an inequality by a negative number, you change the direction of the inequality (at the same time).
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