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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