Answer :

Given:


|3x – 7|> 4, x ϵ R.


3x – 7 < -4 or 3x – 7 > 4


(Because |x| > a, a>0 then x < -a and x > a)


3x – 7 < -4


Now, adding 7 to both the sides in the above equation


3x – 7 + 7 < -4 +7


3x < 3


Now, dividing by 3 on both the sides of above equation



x < 1


Now,


3x – 7 > 4


Adding 7 on both the sides in above equation


3x – 7 + 7 > 4 + 7


3x > 11


Now, dividing by 3 on both the sides in the above equation




Therefore,



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