Question 86359
The given expression is: 


2 + 3[4 + 2(b-1)] > 2b - 7 


Simplifying this further, we get: 


2 + 3[ 4 + 2b - 2] > 2b - 7 


==> 2 + 3[2 - 2b]  > 2b - 7


==> 2 + 6 - 6b > 2b - 7 


==> 8 - 6b > 2b - 7 


==> 8 + 7 >  2b + 6b 


==> 15 > 8b 


OR 


==> 8b < 15  


==> {{{b < 15/8}}} 


Hence, the solution.


Regards

happy calculating!!!