SOLUTION: | 2 - x | < 3 , which of the following is a possible value of x ? a 4 b 5 c 6 d 7 e 8

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Question 309759: | 2 - x | < 3 , which of the following is a possible value of x ?
a 4 b 5 c 6 d 7 e 8
Answer by alicealc(293) About Me  (Show Source):
You can put this solution on YOUR website!
|2 - x| < 3 means:
-3 < 2 - x < 3
subtract all by 2:
-3 - 2 < 2 - x - 2 < 3 - 2
-5 < -x < 1
multiply all by -1
5 > x > -1

so the value of x must between -1 and 5.
then the correct answer is 4 (a)