document.write( "Question 389781: 6+|r|=3\r
\n" ); document.write( "\n" ); document.write( "Am I correct that there is no solution set? \n" ); document.write( "
Algebra.Com's Answer #276312 by jim_thompson5910(35256)\"\" \"About 
You can put this solution on YOUR website!
You are correct. \r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Here's why:\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "If you subtract 6 from both sides, you get \"abs%28r%29=-3\", but there's a problem: the absolute value of ANY number is ALWAYS nonnegative (ie not negative)\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "So \"abs%28r%29=-3\" is NOT possible and therefore, there are no solutions.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "So the solution set is the empty set \n" ); document.write( "
\n" );