document.write( "Question 1018968: Solve the polynomial inequality. Express the solution set in interval notation.\r
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Algebra.Com's Answer #634946 by ikleyn(52847) $\"\"$ $\"About$

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\n" ); document.write( "Solve the polynomial inequality. Express the solution set in interval notation.\r
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document.write( " >= .    (1)\r\n" );
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document.write( "This inequality is equivalent to\r\n" );
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document.write( " >= .\r\n" );
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document.write( "Left side is . So the inequality takes the form\r\n" );
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document.write( " >= .\r\n" );
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document.write( "The last inequality is true for any x, because its left side is always non-negative as the square of real number (2x-1).\r\n" );
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document.write( "Therefore, the original equation (1) is valid for all real numbers x.\r\n" );
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document.write( "Thus the set of solutions to inequality (1) is all real numbers, the entire number line (, ).\r\n" );
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