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  

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,  and