document.write( "Question 167368: 5[r+3]>5 \n" ); document.write( "
Algebra.Com's Answer #123295 by midwood_trail(310) ![]() You can put this solution on YOUR website! 5|r+3|> 5\r \n" ); document.write( "\n" ); document.write( "Solving an absolute value inequality problem is similar to solving an absolute value equation. \r \n" ); document.write( "\n" ); document.write( "Start by isolating the absolute value on one side of the inequality symbol, then follow the rules below: \r \n" ); document.write( "\n" ); document.write( "Because the symbol is greater than (>), we use the word OR.\r \n" ); document.write( "\n" ); document.write( "In this sample, the number on the right side of the symbol > is bigger than 0.\r \n" ); document.write( "\n" ); document.write( "First thing to do is ISOLATE the absolute value symbol.\r \n" ); document.write( "\n" ); document.write( "We do this by dividing both sides by 5. \n" ); document.write( "So, 5/5 = 1\r \n" ); document.write( "\n" ); document.write( "We now have this question:\r \n" ); document.write( "\n" ); document.write( "|r + 3| = 1\r \n" ); document.write( "\n" ); document.write( "We now set up two cases:\r \n" ); document.write( "\n" ); document.write( "r > 1 or r < -1\r \n" ); document.write( "\n" ); document.write( "Remove the value from inside the absolute value solving each case individually.\r \n" ); document.write( "\n" ); document.write( "CASE ONE:\r \n" ); document.write( "\n" ); document.write( "r + 3 > 1\r \n" ); document.write( "\n" ); document.write( "r > -3 + 1\r \n" ); document.write( "\n" ); document.write( "r > -2\r \n" ); document.write( "\n" ); document.write( "=========\r \n" ); document.write( "\n" ); document.write( "CASE TWO:\r \n" ); document.write( "\n" ); document.write( "r + 3 < -1\r \n" ); document.write( "\n" ); document.write( "r < -3 - 1\r \n" ); document.write( "\n" ); document.write( "r < -4\r \n" ); document.write( "\n" ); document.write( "Final answer:\r \n" ); document.write( "\n" ); document.write( "r > -2 or r < - 4 \n" ); document.write( " \n" ); document.write( " |