The solution to the inequality is b < -7, and it is graphed in the image attached below. None of the options given is correct.
How to solve and graph an inequality?
Given the inequality:
1 - 6(5b + 5) > 181
First, distribute the -6:
1 - 30b - 30 > 181
Combine like terms:
-30b - 29 > 181
Now, subtract 29 from both sides:
-30b > 210
Finally, divide both sides by -30. Since we are dividing by a negative number, the inequality sign flips:
b < -7
None of the options are correct. The graph of the solution b < -7 is shown below.