SOLUTION: write |2+x| < 9 in the double-inequality form have no clue how to do this... also is double inequality form something like n < x

SOLUTION: write |2+x| < 9 in the double-inequality form have no clue how to do this... also is double inequality form something like n < x < n?

Question 805044: write |2+x| < 9 in the double-inequality form have no clue how to do this...
also is double inequality form something like n < x < n?
Answer by htmentor(1343) (Show Source): You can put this solution on YOUR website!
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
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