Question

Изобразите на координатной плоскости множество решений неравенства x² + y² ≤9, 2х-у >=1

Answer 1

Решение на фотографии.

Answer 2

Plotting the Inequality on a Coordinate Plane

To plot the inequality x² + y² ≤ 9 and 2x - y ≥ 1 on a coordinate plane, we can start by graphing the boundary equations and then shade the appropriate region based on the inequality.

First, let's graph the boundary equation x² + y² = 9. This is the equation of a circle with radius 3 and center at the origin (0, 0). The circle represents all the points that satisfy the equation.

Next, we'll graph the boundary equation 2x - y = 1. This is a linear equation, and we can find the x and y intercepts to plot the line.

After graphing the boundary equations, we'll determine which side of each boundary to shade based on the inequality.

Plotting the Inequality

The graph of the inequality x² + y² ≤ 9 and 2x - y ≥ 1 will show the region where both inequalities are satisfied.

Let's plot the graph.