document.write( "Question 80013: Please Help,\r
\n" ); document.write( "\n" ); document.write( " 7|z+6|+8 is less than or equal to 57, I think the answer is less than or equal to 1 but i'm really not sure \n" ); document.write( "

Algebra.Com's Answer #57439 by tutor_paul(519) $\"\"$ $\"About$

You can put this solution on YOUR website!
7|z+6|+8<=57
\n" ); document.write( "You are close, but you are missing a key point... first, manipulate the equation to get the absolute value alone on one side:
\n" ); document.write( "7|z+6|<=49
\n" ); document.write( "|z+6|<=7
\n" ); document.write( "Given the inequality |x|<= a, the solution is always of the form –a <=x<= a. So now you can get rid of those pesky absolute value symbols and rewrite the equation like this:
\n" ); document.write( " $\"-7%3C=z%2B6%3C=7\"$
\n" ); document.write( "This is now something that you can deal with... solve for z by subtracting 6 from each term and you are done.
\n" ); document.write( " $\"highlight%28-13%3C=z%3C=1%29\"$
\n" ); document.write( "So you can see how you only got this problem half right. You can confirm the answer by plugging it into the original inequality. \n" ); document.write( "

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