Final answer:
To graph the inequality x²+y² ≥ 9, we start by graphing the equation x²+y² = 9, which represents the equation of a circle with a radius of 3 units centered at the origin (0, 0). Next, we determine whether the inequality is greater than or equal to (≥) or less than or equal to (≤) 9. Since the inequality includes the equal sign, we shade the region inside the circle as well as the circle boundary to represent all the points that satisfy the inequality. In the graph, the shaded region indicates the solutions to the inequality x²+y² ≥ 9.
Step-by-step explanation:
To graph the inequality x²+y² ≥ 9, we start by graphing the equation x²+y² = 9, which represents the equation of a circle with a radius of 3 units centered at the origin (0, 0).
Next, we determine whether the inequality is greater than or equal to (≥) or less than or equal to (≤) 9. Since the inequality includes the equal sign, we shade the region inside the circle as well as the circle boundary to represent all the points that satisfy the inequality.
In the graph, the shaded region indicates the solutions to the inequality x²+y² ≥ 9.