The image you have provided contains a table for filling in the missing information about quadratic inequalities, specifically for the case where the inequality symbol is "≥", indicating a quadratic inequality in the form $ax^2 + bx + c \geq 0$.

Here is a breakdown of the missing entries based on the given information:

1. Inequality Symbol: $\geq$
2. Leading Coefficient: $a > 0$ (This means the parabola opens upwards).
3. The direction in which the parabola opens: Upwards.
4. x-values from the graph included in the solution: Above the x-axis (since we are considering where the graph is greater than or equal to zero, meaning the part of the parabola that is on or above the x-axis).
5. Roots: Included (since we have "greater than or equal to", the roots are part of the solution).
6. Solution Set: $\{x | x \leq x_1 \text{ or } x \geq x_2\}$ (This represents the intervals where the parabola is above or on the x-axis).

Would you like more details or any clarifications on this topic?

Here are 5 related questions to expand on this:

1. What is the difference between $\geq$ and $>$ in terms of solution sets for quadratic inequalities?
2. How do we calculate the roots of a quadratic inequality?
3. Why does the parabola open upwards when $a > 0$?
4. How would the solution change if the inequality were $\leq$?
5. What happens to the solution set if the quadratic has no real roots?

Tip: When solving quadratic inequalities, always sketch the parabola to visually confirm where the graph is above or below the x-axis for a clearer understanding of the solution set.