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2.
If both sides of a true inequality are multiplied by the same positive number, the resulting inequality is also true. If both sides of a true inequality are multiplied by the same negative number, the resulting inequality with a reversed sign is true. This is stated by the ________________.



A.



  Multiplicative Inverse Property  


B.



  Addition Property of Inequality  


C.



  Multiplication Property of Inequality  


D.



  Multiplication Property of Equality  

Respuesta :

Answer: Choice C) Multiplication property of inequality

The rule basically says that if you start with a < b and you multiply both sides by some positive number c, then a*c < b*c. The sign doesn't flip if you multiply both sides by a positive number.
The sign will flip if c is negative. So we'll go from a < b to a*c > b*c if c is negative.

Example 1:
1 < 5
-2 > -10 ... multiplied both sides by -2; sign flips

Example 2: 
3 < 7
9 < 21 ... multiplied both sides by 3; sign does not flip

Similar rules apply to a > b, [tex]a \le b[/tex] and [tex]a \ge b[/tex]

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