document.write( "Question 1201617: Use the form |x-b| < c or |x-b| > c to write an absolute value inequality that has the solution set 5 < x < 7. \n" ); document.write( "

Algebra.Com's Answer #836078 by ikleyn(52864) $\"\"$ $\"About$

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document.write( "Inequality  5 < x < 7  is EQUIVALENT to (= is the same as; = has the same solution set as)\r\n" );
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document.write( "the inequality  |x-6 | < 1,  which is of the form you want.\r\n" );
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document.write( "As \"b\", you take the central point between the end-points 5 and 7:  b =  = 6.\r\n" );
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document.write( "As \"c\", you take the distance from mid-point \"b\" to any of the two end-points.\r\n" );
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document.write( "So,  c =  =  = 1.\r\n" );
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\n" ); document.write( "\n" ); document.write( "To see many other similar and different SOLVED problems on absolute value inequalities, look into the lesson\r
\n" ); document.write( "\n" ); document.write( " - Solving absolute value inequalities \r
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