Saturday

August 2, 2014

August 2, 2014

Posted by **Andrea** on Thursday, September 14, 2006 at 6:19pm.

-|4-8b|=12

I really get confused with the absolute value symbols and a negative sign outside of them.

Don't worry about it; it does tend to be a bit confusing.

I'll explain the difference between inside and outside negative signs first.

I'm assuming you know that the absolute value of a number is nothing more than its distance from zero on a number line.

Anyway, inside:

|-4|

The negative sign is inside the absolute value sign. The absolute value of negative four is 4.

Outside:

-|4|

First, we would want to find the absolute value of four, which is, of course, four. Now, the negative sign is not inside the absolute value sign, so it remains, resulting in negative four.

Now on to your problem.

-|4-8b|=12

We first need to lose the absolute value signs, which means first getting rid of that four. Since it's a positive four within the confines of the absolute value sign, subtract four from both sides.

-|-8b|=8

Now we can take out that abs. val. sign.

The absolute value of -8b is 8b, since -8b is eight away from zero.

BUT there's that negative sign on the outside, which is unaffected by the abs. val. sign, and which is attached to the 8b, resulting in:

-8b=8

Divide both sides by -8:

b=-1

Sorry, but no. The absolute value is always a positive number. There is no solution to this problem.

We have -|4-8b|=12

If we multiply both sides by -1 we have

|4-8b|=-12

No solution exists.

Okay, thank-you.

I'll just remark too that if the problem were

|4-8b|=12 then there would be two solutions, For the first you'd set

4-8b=12 and for the second you'd set

-1(4-8b)=12

You should get b=-1 to satisfy the first and b=2 for the second.

This would be a completely different problem though.

**Related Questions**

math !!!!!!please part of a major grade!!!!!! - when in the absolute value of x ...

algebra 2 - evaluate:-[a-3b],if a= -2 and b= 6 -[-2-18] -[20] 20 correct? these ...

math - when in the absolute value of x equal to the absolute value of negative x...

Math- Question - What is the absolute value of -(-6.8) Would it be -6.8 or -6.8...

absolute value sign - Hi. for a square root equation with variables such as x or...

Algebra - I think I am a little bit confused with this absolute value thing. ...

algebra 2 - in absolute value i kno that a negative number then turns to ...

Algebra - Could someone please help me find x in this problem and explain how ...

Algebra 1 - Write an equation for for each translation of y=|x| 1. left 2 units ...

8th grade math - Hi! I need some help with absolute value. First, I want to ask ...