Question

What is the solution to the following inequality?
|3x - 8| <2

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Answer 1

Answer:

The correct choice is option A.  2 < x < 10/3

Step-by-step explanation:

|3x - 8| < 2

= -2 < |3x - 8| < 2

3x - 8 > -2         and       3x - 8 < 2

    +8    +8                           +8    +8

-----------------                   ------------------

3x > 6                              3x < 10

/3     /3                             /3     /3

-----------------                   -------------------

x > 2                                  x < 10/3

= 2 < x < 10/3

Answer 2

Answer:

The correct choice is option A.  2 < x < 10/3