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Solve for x: [x - 2] < 3

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Question 18
A

2 < x < 3

B

-1 < x < 5

C

x < 1

D

x < 5

Explanation

 Solve for x in |x-2|<3

| x − 2 | < 3 

x − 2 < ± 3

Set up the positive portion of the ± solution.

x − 2 < 3

Move all terms not containing x to the right side

x < 5

Set up the negative portion of the ± solution.

x − 2 < − 3

Move all terms not containing x to the right side 

Add 2 to both sides 

x < − 3 + 2 

x < − 1

The solution to the equation includes both the positive and negative portions of the solution. 

− 1 < x < 5 (B) 


Correct option: B

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