document.write( "Question 1124599: Write an absolute value equation that has the solutions x=−6 and x=10.\r
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Algebra.Com's Answer #740910 by ikleyn(52879) $\"\"$ $\"About$

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document.write( "The simplest possible equation is\r\n" );
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document.write( "    |x - 2| = 8.\r\n" );
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document.write( "Notice that the number 2 is exactly half-way between the points \" -6 \"  and  \" 10 \" on the number line: \r\n" );
document.write( "it is a midpoint, or a bisector of the segment  [-6,10].\r\n" );
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document.write( "The number \" 8 \" in the right side of the equation is the distance from midpoint \" 2 \" to endpoints.\r\n" );
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document.write( "Notice that 8 is exactly half of the length of the segment  [-6,10], which (the length) is 16 units.\r\n" );
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document.write( "The equation says:  the distance from the point  \" x \"  to the  point \" 2 \"  is equal to 8.\r\n" );
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document.write( "This equation has exactly two solutions  x= -6  and  x= 10, as it is required.\r\n" );
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