1. ## inequalities

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

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

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

Multiply both sides by 8.

$\displaystyle x < -8$

3. ## bump

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.

4. 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.

5. Originally Posted by topher0805
$\displaystyle \frac {x}{8} - 1 < -2$

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

Multiply both sides by 8.

$\displaystyle x < -8$

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

6. 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.