Final answer:
The solution to the inequality 3x - 2 >= x + 6/3 is x >= 2 after simplifying and performing algebraic operations.
Step-by-step explanation:
To solve the inequality 3x - 2 ≥ x + rac{6}{3}, first simplify the right side of the inequality by dividing 6 by 3, which gives us 2. So the inequality is now 3x - 2 ≥ x + 2. The next step is to get all the x terms to one side and the constants to the other side. To do this, subtract x from both sides to get 2x - 2 ≥ 2, and then add 2 to both sides to have 2x ≥ 4. Finally, divide both sides by 2 to isolate x, which gives us x ≥ 2 as the solution to the inequality.