Answer:
Option d: {d | d ≤ 6} is the correct answer
Step-by-step explanation:
Given inequality is:
[tex]3(2d-1)\geq 4(2d-3)-3\\Expanding the terms\\6d-3 \geq 8d-12-3\\6d-3 \geq 8d-15\\Adding\ 3\ to\ both]\ sides\\6d-3+3\geq 8d-15+3\\6d\geq 8d-12\\Subtracting\ 8d\ from\ both\ sides\\6d-8d \geq 8d-12-8d\\-2d\geq -12\\Multiplying\ both\ sides\ by\ -1\\2d\leq 12\\Dividing\ both\ sides\ by\ 2\\d \leq 6[/tex]
Hence, option d: {d | d ≤ 6} is the correct answer ..
