Question 805044
The absolute value results in two separate inequalities.  
The absolute value "negates" the negative sign of the expression.  To solve, we work on the positive and negative cases separately.
Positive case: 2 + x < 9 -> x < 7
Negative case: -(2 + x) < 9 -> -x - 2 < 9 -> -x < 11 -> x > -11 [sign reverses direction]
Now we can write this is a single inequality:
-11 < x < 7