Final answer:
To solve the inequality 8 - 1/4 b = 272, subtract 8 from both sides, multiply by 4 to eliminate the fraction, and divide by -1 to solve for b. The solution is b = -1056.
Step-by-step explanation:
To find the solution to the inequality 8 - 1/4 b = 272, we need to isolate the variable b. First, let's subtract 8 from both sides of the equation:
8 - 1/4 b - 8 = 272 - 8
- 1/4 b = 264
To get rid of the fraction, we can multiply both sides of the equation by 4:
4 * (- 1/4 b) = 4 * 264
- b = 1056
Finally, we can divide both sides of the equation by -1 to solve for b:
b = -1056
Therefore, the correct answer is D. -1056.