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Solve for x: |x - 2| < 3

Mathematics
JAMB 2013

Solve for x: |x - 2| < 3

  • A. x < 5
  • B. -2 < x < 3
  • C. -1 < x < 5
  • D. x < 1
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Correct Answer: Option C
Explanation

|x - 2| < 3 implies

-(x - 2) < 3 .... or .... +(x - 2) < 3

-x + 2 < 3 .... or .... x - 2 < 3

-x < 3 - 2 .... or .... x < 3 + 2

x > -1 .... or .... x < 5

combining the two inequalities results, we get;

-1 < x < 5

There is an explanation video available below.


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Explanation Video

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