How to solve the problem is
1) Factor out the common term which is 2.
2(1+2b)/2_>3b+6
2) Cancel 2.
1+2b_>3b+6
3) Subtract 1 from both sides.
2b_>3b+6-1
4) Simplify 3b+6 -1 to 3b+5
2b_> 3b+5
5) Subtract 3b from both sides.
2b-3b_>5
6) Simplify 2b-3b to -b.
-b_>5
7) Multiply both sides by -1
b_< -5
Hope this helps :)