document.write( "Question 535783: -7 |x+12| +3 >17 \n" ); document.write( "
Algebra.Com's Answer #351996 by SylvieCarroll(3)\"\" \"About 
You can put this solution on YOUR website!
We need to get the absolute value ( |x+12| ) all on it's own.
\n" ); document.write( "Subtract 3 from both sides.
\n" ); document.write( "-7 |x+12| > 14
\n" ); document.write( "Divide both sides by -7. When you divide an inequality by a negative, the sign flips.
\n" ); document.write( "|x+12| < -2
\n" ); document.write( "

\n" ); document.write( "You have to solve this two ways.
\n" ); document.write( "First: x+12 < -2
\n" ); document.write( "Second: x+12 > 2
\n" ); document.write( "

\n" ); document.write( "First:
\n" ); document.write( "Subtract 12 from both sides to get:
\n" ); document.write( "x < -14
\n" ); document.write( "

\n" ); document.write( "Second:
\n" ); document.write( "Subtract 12 from both sides to get:
\n" ); document.write( "x > -10
\n" ); document.write( "

\n" ); document.write( "So there are your solutions for x:
\n" ); document.write( "x < -14
\n" ); document.write( "x > -10
\n" ); document.write( "
\n" );