Final answer:
To graph the inequality x²+y² < 25, start by graphing the equation x²+y² = 25, which is a circle with a radius of 5 centered at the origin. Then, shade the inside of the circle to represent the inequality x²+y² < 25. Label the graph with f(x) = x²+y² < 25.
Step-by-step explanation:
To graph the inequality x²+y² < 25, we can start by graphing the equation x²+y² = 25. This equation represents the boundary of the inequality. It is a circle with a radius of 5 centered at the origin (0, 0).
Next, we need to determine which region to shade to represent the inequality. Since the inequality is less than 25, we shade the inside of the circle. This region represents all the points that satisfy the inequality x²+y² < 25.
Finally, we can label the graph with the equation f(x) = x²+y² < 25 and scale the x and y axes accordingly.