document.write( "Question 38553: solve the inequality symbolically. Express the solution set in interval notation.\r
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Algebra.Com's Answer #24060 by AnlytcPhil(1810)\"\" \"About 
You can put this solution on YOUR website!
Solve the inequality symbolically. Express the solution set in interval\r\n" );
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document.write( "        7y - 2 < -6y - 7\r\n" );
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document.write( "Solve it just as you would an equation\r\n" );
document.write( "Get rid of the -2 on the left by adding +2 to both sides\r\n" );
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document.write( "        7y - 2 < -6y - 7 \r\n" );
document.write( "           + 2       + 2\r\n" );
document.write( "       覧覧覧覧覧覧覧覧覧\r\n" );
document.write( "        7y     < -6y - 5\r\n" );
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document.write( "Get rid of the -6y on the right by adding +6y to both sides\r\n" );
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document.write( "            7y < -6y - 5\r\n" );
document.write( "           +6y   +6y\r\n" );
document.write( "          覧覧覧覧覧覧覧予r\n" );
document.write( "           13y <      -5\r\n" );
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document.write( "Divide both sides by 13.  Note: if you were dividing by a \r\n" );
document.write( "negative number, you would reverse the inequality symbol;\r\n" );
document.write( "however here we are dividing by a positive number 13, so\r\n" );
document.write( "we DO NOT reverse the inequality symbol:\r\n" );
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document.write( "           13y < -5\r\n" );
document.write( "             y < -5/13 \r\n" );
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document.write( "Now draw a number line, and mark -5/13 approximately\r\n" );
document.write( "which is between -1 and 0, closer to 0\r\n" );
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document.write( "       --------------o-----------\r\n" );
document.write( "        -2     -1      0      1 \r\n" );
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document.write( "Since y is less than -5/13, shade the left side of -5/13\r\n" );
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document.write( "      <==============o-----------\r\n" );
document.write( "        -2     -1      0      1\r\n" );
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document.write( "We imagine that there is a -･ on the far\r\n" );
document.write( "left of the number line and an ･ on the\r\n" );
document.write( "far right side\r\n" );
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document.write( " -･   <==============o-----------    ･\r\n" );
document.write( "        -2     -1      0      1\r\n" );
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document.write( "The left \"endpoint\" of the shaded region is -･ and the\r\n" );
document.write( "right endpoint is -5/13, so the interval notation has these\r\n" );
document.write( "two endpoints.  Neither endpoint is included, so the interval\r\n" );
document.write( "notation has ( ) of each side, not [ ]:\r\n" );
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document.write( "Interval notation of solution:    (-･,-5/13)\r\n" );
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document.write( "Edwin McCravy\r\n" );
document.write( "AnlytcPhil@aol.com
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