Solve for x: |x - 2| < 3
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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
|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