document.write( "Question 312490: How would you solve following inequality?\r
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Algebra.Com's Answer #223404 by Edwin McCravy(20059) $\"\"$ $\"About$

You can put this solution on YOUR website!

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document.write( "|2x - 3| > 5 \r\n" );
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document.write( "That says 2x - 3 is either less than -5 or else it's greater than +5, \r\n" );
document.write( "but not inclusive of either -10 or +10 since the symbol\r\n" );
document.write( "of inequality is > and not >\r\n" );
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document.write( "And that is the same thing as saying:\r\n" );
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document.write( "2x - 3 < -5 OR 2x - 3 > +5 \r\n" );
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document.write( "Add 3 to both sides in both inequalities to get 2x alone \r\n" );
document.write( "on the left of each one\r\n" );
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document.write( "2x - 3 < -5 OR 2x - 3 > +5\r\n" );
document.write( "   + 3   +3       + 3   +3\r\n" );
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document.write( "2x     < -2 OR 2x    >   8 \r\n" );
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document.write( "Divide both sides of both inequalities by 2 to solve for x \r\n" );
document.write( "in each one:\r\n" );
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document.write( "   <  OR  <  > \r\n" );
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document.write( "x < -1  OR  x > 4 \r\n" );
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document.write( "on a number line that has this graph:\r\n" );
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document.write( "-7  -6  -5  -4  -3  -2  -1   0   1   2   3   4   5   6   7   8   9  \r\n" );
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document.write( "In interval notation, that's (, -1) U (4, )\r\n" );
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document.write( "Edwin

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