document.write( "Question 1207257: How many integers satisfy |x+1|<4 \n" ); document.write( "
Algebra.Com's Answer #845051 by MathTherapy(10555)\"\" \"About 
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document.write( "How many integers satisfy |x+1|<4\r\n" );
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document.write( "|x + 1| < 4 denotes: x + 1 < 4  or  x + 1 > - 4\r\n" );
document.write( "When combined, we get: - 4 <   x + 1   < 4\r\n" );
document.write( "                   - 4 - 1 < x + 1 - 1 < 4 - 1 ----- Subtracting 1\r\n" );
document.write( "                           - 5 < x < 3\r\n" );
document.write( "The number of INTEGERS from - 5 to 3, INCLUSIVE, is: 3 - - 5 + 1 = 3 + 5 + 1 = 9. However,\r\n" );
document.write( "these 9 INTEGERS include the 2 endpoints, - 5 and 3, which should be EXCLUDED. Therefore, \r\n" );
document.write( "number of INTEGERS between - 5 and 3, that satisfies |x + 1| < 4 is: 9 - 2 = 7.
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