document.write( "Question 1107360: 6|7+7n|+8<50 \n" ); document.write( "

Algebra.Com's Answer #722401 by ikleyn(52781) $\"\"$ $\"About$

You can put this solution on YOUR website!
.
\n" ); document.write( "

\r\n" );
document.write( "6|7 + 7n| + 8 < 50  ====>\r\n" );
document.write( "\r\n" );
document.write( "6|7 + 7n| < 50 - 8\r\n" );
document.write( "\r\n" );
document.write( "6|7 + 7n| < 42      ====>  divide both sides by 6  ====>\r\n" );
document.write( "\r\n" );
document.write( " |7 + 7n| < 7       ====>  divide both sides by 7  ====>\r\n" );
document.write( "\r\n" );
document.write( " |1 + n|  < 1       ====>  same as                 ====>\r\n" );
document.write( "\r\n" );
document.write( " |n + 1| < 1        ====>   same as  |n - (-1)| < 1.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "The solution to the last inequality is the set of real numbers n that are remoted LESS THAN 1 unit from the number \r\n" );
document.write( "\r\n" );
document.write( "(from the point in the number line) \"-1\",  i.e.  -2 < n < 0.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Answer.  The solution is the set  -2 < n < 0,  or, in the interval notation,  the interval  (-2,0).\r\n" );
document.write( "

\r
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

\n" );