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Question:
Solve the inequalities 7< (3x+11)/(2)<11
Answer:

Given inequality is: 

       7 < (3x+11)/2 < 11

=> 7*2 < 3x+11 < 11*2

=> 14 < 3x+11 < 22

=> 14-11 < 3x < 22-11

=> 3 < 3x < 11

=> 3/3 < x < 11/3

=> 1 < x < 11/3

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