document.write( "Question 1160569: a) Write an inequality that results in “no solution.”
\n" ); document.write( "b) Solve your inequality.
\n" ); document.write( "c) Explain why the answer is “no solution.”\r
\n" ); document.write( "\n" ); document.write( "
\n" ); document.write( "

Algebra.Com's Answer #783872 by ikleyn(52778)\"\" \"About 
You can put this solution on YOUR website!
.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "            The statement in the post by @MathLover1, that the absence of solutions
\n" ); document.write( "            of inequality means  NONSENSE  is    w r o n g   and   i n c o r r e c t.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "
\r\n" );
document.write( "There are thousands examples from real life and from Math, when absence of solutions is absolutely normal and regular situation.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "For example, consider inequality\r\n" );
document.write( "\r\n" );
document.write( "    sin(x) > 1.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "It has no solutions; but the sinusoid exists and there is no any NONSENSE in it . . . \r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Another example.  Let y be the position in time of the ferries cabine (y is the height over the ground).\r\n" );
document.write( "\r\n" );
document.write( "The inequality y < 0 has no solutions, and it is very good.\r\n" );
document.write( "\r\n" );
document.write( "It only means that the the ferry is designed correctly (!)\r\n" );
document.write( "\r\n" );
document.write( "Would the inequality y < 0 had solutions, it would mean death or injury of people in cabin.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Another widely known inequality is  x^2 < 0.\r\n" );
document.write( "\r\n" );
document.write( "It has no solutions (the square of the real number CAN NOT be negative), and it is absolutely normal situation.\r\n" );
document.write( "
\r
\n" ); document.write( "\n" ); document.write( "
\n" ); document.write( "
\n" );