document.write( "Question 1207257: How many integers satisfy |x+1|<4 \n" ); document.write( "
Algebra.Com's Answer #845031 by ikleyn(52864)\"\" \"About 
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\n" ); document.write( "How many integers satisfy |x+1| < 4 ?
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\n" ); document.write( "\n" ); document.write( "Here is even more short reasoning:\r
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document.write( "    The number of integer solutions  of  |x+1| < 4 is the same \r\n" );
document.write( "    as the number of integer solutions of   |y| < 4,\r\n" );
document.write( "    which is obviously 3 + 3 + 1 = 7.\r\n" );
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\n" ); document.write( "\n" ); document.write( "Notice that in this problem,  they do not ask you to find the set of solutions.
\n" ); document.write( "They only ask to determine the number of solutions.\r
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\n" ); document.write( "\n" ); document.write( "Therefore,  in this application,  x+1  is a dumb variable and can be replaced by any other variable.\r
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\n" ); document.write( "\n" ); document.write( "This variable,  (x+1),  is intently presented in this form to create false associations,
\n" ); document.write( "to distract attention and to motivate a reader to make unnecessary calculations.\r
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\n" ); document.write( "\n" ); document.write( "Therefore,  it is  MUCH  BETTER  to replace it by something more neutral, which does not
\n" ); document.write( "distract attention, does not make false associations and does not motivate to make unnecessary calculations.\r
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