Question 1207257
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How many integers satisfy |x+1|<4

|x + 1| < 4 denotes: x + 1 < 4  or  x + 1 > - 4
When combined, we get: - 4 <   x + 1   < 4
                   - 4 - 1 < x + 1 - 1 < 4 - 1 ----- Subtracting 1
                           - 5 < x < 3
The number of INTEGERS from - 5 to 3, INCLUSIVE, is: 3 - - 5 + 1 = 3 + 5 + 1 = 9. However,
these 9 INTEGERS include the 2 endpoints, - 5 and 3, which should be EXCLUDED. Therefore, 
number of INTEGERS between - 5 and 3, that satisfies |x + 1| < 4 is: 9 - 2 = <font color = red><font size = 4><b>7</font></font></v>.</pre>