sanjivnisingh2
sanjivnisingh2
11-07-2022
Mathematics
contestada
12. a) Solve the following|x-1|<2.
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jimthompson5910
jimthompson5910
11-07-2022
Answer: -1 < x < 3
Work Shown:
| x-1 | < 2
-2 < x-1 < 2 ... see note1 below
-2+1 < x-1+1 < 2+1 ... see note2
-1 < x < 3
Note1: use the rule that |x| < k turns into -k < x < k for some positive real number k.
Note2: Add 1 to all sides to isolate x
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