Solve for x: |x - 2| < 3
...Solve for x: |x - 2| < 3
x < 5
-2 < x < 3
-1 < x < 5
x < 1
Correct answer is C
|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
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