document.write( "Question 52566: I need help with this problem, i dont know what |x+6|means i mean i know what the rest of the problum is but i dont know if it is like parenthases or somthing else well the whole problum is \r
\n" ); document.write( "\n" ); document.write( "|x+6|+8=4
\n" ); document.write( "the help would be most appreciated \r
\n" ); document.write( "\n" ); document.write( "thanks Pheobe \n" ); document.write( "

Algebra.Com's Answer #35094 by Nate(3500) $\"\"$ $\"About$

You can put this solution on YOUR website!
When you have straight bars around that value, it is called absolute value.
\n" ); document.write( "It, in easier mathematical terms, is described by: $\"sqrt%28%28x+%2B+6%29%5E2%29\"$
\n" ); document.write( "That means that every value plugged for $\"x\"$ gives you a positive number or zero.
\n" ); document.write( "Lets do an example:
\n" ); document.write( "|x + 1| = 2
\n" ); document.write( " $\"sqrt%28%28x+%2B+1%29%5E2%29+=+2\"$
\n" ); document.write( " $\"%28x+%2B+1%29%5E2+=+4\"$
\n" ); document.write( " $\"x+%2B+1+=+2\"$ and $\"x+%2B+1+=+-2\"$
\n" ); document.write( " $\"x+=+1\"$ and $\"x+=+-3\"$
\n" ); document.write( " $\"graph%28300%2C300%2C-5%2C5%2C-5%2C5%2Csqrt%28%28x%2B1%29%5E2%29%2C2%29\"$
\n" ); document.write( "Now, lets do your problem:
\n" ); document.write( "|x + 6| + 8 = 4
\n" ); document.write( "|x + 6| = -4 Remember, I said that absolute values gives you positive values or zero. There is no way it will give you negative four, so there are no solutions.
\n" ); document.write( " $\"graph%28300%2C300%2C-8%2C2%2C-5%2C5%2Csqrt%28%28x%2B6%29%5E2%29%2C-4%29\"$ \n" ); document.write( "

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