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bezimeni [28]
2 years ago
14

12. a) Solve the following|x-1|<2. ​

Mathematics
1 answer:
Aleksandr-060686 [28]2 years ago
3 0
<h3>Answer:  -1 < x < 3</h3>

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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