document.write( "Question 1160569: a) Write an inequality that results in “no solution.”
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document.write( "b) Solve your inequality.
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document.write( "c) Explain why the answer is “no solution.”\r
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Algebra.Com's Answer #783872 by ikleyn(52778)![]() ![]() 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( " |