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Homework Help: Algebra

Posted by Nini on Tuesday, May 22, 2012 at 10:24pm.

Why does the inequality sign change when both sides are multiplied or divided by a negative number? Does this happen with equations? Explain

• Algebra - Steve, Wednesday, May 23, 2012 at 12:56pm

  Multiplying by a negative number is just a quick way of moving things to the other side of the inequality. Consider
  
  -2x < 100
  
  Now, you could solve it without doing any negative multiplying at all: just add 2x to both sides to get
  
  0 < 2x + 100
  
  Now subtract the 100 to get
  
  -100 < 2x
  or,
  2x > -100
  
  changing the sense of the inequality just means that terms have switched sides in the expression as written.
  

• Algebra - Need HELP PLEASE, Wednesday, May 23, 2012 at 11:05pm

  thank you!
  

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