Final answer:
The inequality model provided suggests a mathematical equation, but a clear solution set for 'x' cannot be determined without the exact inequality or more context. The available answer choices do not align with the apparent solution from the information given.
Step-by-step explanation:
The student's question implies a model visualizing an inequality equation where the white rectangles likely represent a multiple of a variable (let's say 'x') and the white squares and gray squares likely represent numerical values. We are tasked with interpreting this to solve for 'x' given that white rectangles represent '4x' and the white and grey squares represent constant numbers. To translate the model into an equation, it would look like this: 4(4x) + 12 ≤ 8, simplifying to 16x + 12 ≤ 8. To find the solution set for 'x', we subtract 12 from both sides, resulting in 16x ≤ -4. Finally, dividing both sides by 16 gives us x ≤ -1/4, which is not exactly present in the answer choices provided here. However, if we assume a typographical error and that the 4 in the inequality provided in the details was indeed meant to be a '1', then we would obtain the inequality 16x + 12 ≤ 1, and thus after solving we would have x ≤ -11/16 which is still not reflected in the answer choices. Without the precise inequality to solve or more context, we cannot determine the correct answer from the provided choices.