Final answer:
To solve the inequality b + 12/7 ≥ 1/3, subtract 12/7 from both sides and simplify the expression. The solution in interval notation is [-29/21, ∞).
Step-by-step explanation:
To solve the inequality b + 12/7 ≥ 1/3, we need to isolate the variable b. Start by subtracting 12/7 from both sides: b ≥ 1/3 - 12/7. Simplify the right side of the inequality: b ≥ 7/21 - 36/21. Combine the fractions: b ≥ -29/21. Therefore, the solution in interval notation is [-29/21, ∞).