document.write( "Question 25687: 4 - x < 3 \n" ); document.write( "

Algebra.Com's Answer #13797 by AnlytcPhil(1810) $\"\"$ $\"About$

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4 - x < 3\r\n" );
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document.write( "A linear inequality is solved just like an equation except\r\n" );
document.write( "sometimes in the last step.  In the last step\r\n" );
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document.write( "1. if we divide or multiply by a negative number,\r\n" );
document.write( "the inequality symbol MUST be reversed.\r\n" );
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document.write( "2. If we divide or multiply by a positive number,\r\n" );
document.write( "the inequality symbol MUST NOT be reversed.  \r\n" );
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document.write( "4 - x < 3\r\n" );
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document.write( "Subtract 4 from both sides\r\n" );
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document.write( "   -x < 3 - 4\r\n" );
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document.write( "   -x < -1\r\n" );
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document.write( "  -1x < -1 \r\n" );
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document.write( "Now we must divide both sides by -1, which is a\r\n" );
document.write( "negative number, so the inequality symbol must be reversed\r\n" );
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document.write( "  -1x/(-1) > -1/(-1)\r\n" );
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document.write( "         x > 1\r\n" );
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document.write( "Edwin\r\n" );
document.write( "AnlytcPhil@aol.com

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