document.write( "Question 379040: Solve: 3+|2y-1|≥1. Graph the solution set on a number line. \n" ); document.write( "
Algebra.Com's Answer #803439 by ikleyn(52781)![]() ![]() You can put this solution on YOUR website! . \n" ); document.write( "Solve: 3 + |2y-1| ≥ 1. Graph the solution set on a number line. \n" ); document.write( "~~~~~~~~~~~~~\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " The solution by @Penguin is INCORRECT.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " I came to bring you a correct solution.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \r\n" ); document.write( "You start with this inequality\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( " 3 + |2y-1| >= 1.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "Next you subtract the number 3 from both sides.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( " |2y-1| >= 1 - 3,\r\n" ); document.write( "\r\n" ); document.write( "or\r\n" ); document.write( "\r\n" ); document.write( " |2y-1| >= -2.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "But the absolute value is ALWAYS NON-NEGATIVE number,\r\n" ); document.write( "\r\n" ); document.write( "so the last inequality is valid FOR ANY VALUE of y.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "ANSWER. The solution set is the ENTIRE NUMBER LINE from -oo to oo.\r\n" ); document.write( "\r \n" ); document.write( "\n" ); document.write( "Solved, answered, explained and completed.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "/////////////\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Ignore the post by @Pinguin, since it is T O T A L L Y W R O N G.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |