document.write( "Question 535783: -7 |x+12| +3 >17 \n" ); document.write( "
Algebra.Com's Answer #351996 by SylvieCarroll(3)![]() ![]() 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( " |