Graph a linear inequality when the boundary lies on the y axis

The video tutorial explains how to graph the linear inequality x ≤ 0. It begins with an introduction to the coordinate system, highlighting the x and y axes and the origin. The tutorial then demonstrates how to graph the line x = 0, which is the y-axis, and explains the shading required for x ≤ 0. It also covers the importance of determining whether the line should be solid or dashed. Finally, the tutorial shows how to test points to identify the true region of the inequality, concluding with a practical example.

What is the significance of the origin in the coordinate system?

• It is the point where the x value is 0 and the y value is 1.

• It is the point where the x value is 1 and the y value is 0.

• It is the point where the x and y values are both 0.

• It is where the x and y values are both 1.

Which equation represents the x-axis in the Cartesian coordinate system?

• y = x

• y = 0

• x = y

• x = 0

When graphing the line x = 0, which axis does it represent?

• A horizontal line

• The y-axis

• The x-axis

• A diagonal line

What type of line is used to graph x ≤ 0?

• A solid line

• A dotted line

• A bold line

• A dashed line

Which side of the line x = 0 contains the solutions for the inequality x ≤ 0?

• The top side

• The left side

• The bottom side

• The right side