Final answer:
The solution to the equation -x² + 5.5x ≥ 0 in interval notation is (-∞, 0] ∪ [5.5, ∞).
Step-by-step explanation:
To find the solution to the equation -x² + 5.5x ≥ 0 in interval notation, we need to determine the values of x that make the inequality true.
First, let's factor the equation: -x(x - 5.5) ≥ 0.
This inequality holds true when either both terms are positive or both terms are negative. So, the solutions will occur when x ≤ 0 or x - 5.5 ≤ 0. Solving these inequalities, we find that the interval notation for the solution is (-∞, 0] ∪ [5.5, ∞).