What are all real x elements of the set A if they have the property | 3x - 4 | = < 6 ?

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We have to find all the values of x that satisfy | 3x - 4| =< 6

|3x - 4| =< 6 gives us two inequations:

3x - 4 =< 6 and 4 - 3x =< 6

=> 3x =< 10 and -3x =< 2

=> x =< 10/3 and x => -2/3

The required set A is ( -2/3 , 10/3)

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