inequalities

**Leona_Marie** · February 3rd 2009, 10:07 AM

x/8 -1 < -2 = x< -8 question... why doesn't the inequality change. rule says when you devide or multiply an inequality by a negative number you must reverse the
inequality symbol. please explain why this problem doesn't change

**topher0805** · February 3rd 2009, 10:18 AM

$\frac {x}{8} - 1 < -2$

$\frac {x}{8} < -1$

Multiply both sides by 8.

$x < -8$

**Leona_Marie** · February 3rd 2009, 01:25 PM

the question was not the answer I've already givin. the question was why
doesn't the inequality reverse , knowing the rule is when you multiply or devide by a negative number you reverse the equality.

**topher0805** · February 3rd 2009, 01:42 PM

Originally Posted by Leona_Marie

the question was not the answer I've already givin. the question was why
doesn't the inequality reverse , knowing the rule is when you multiply or devide by a negative number you reverse the equality.

And I answered the question. It doesn't reverse because you don't multiply or divide by a negative number.

**Leona_Marie** · February 3rd 2009, 01:54 PM

Originally Posted by topher0805

$\frac {x}{8} - 1 < -2$

$\frac {x}{8} < -1$

Multiply both sides by 8.

$x < -8$

I guess I dont know . I thought I was multiplying x/8< -1, could you please try to show more because Im confused

**topher0805** · February 3rd 2009, 02:00 PM

Originally Posted by Leona_Marie

I guess I dont know . I thought I was multiplying x/8< -1, could you please try to show more because Im confused

You are multiplying by 8. 8 is a positive number. Therefore, the inequality stays the same.

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