Graphing Inequalities on the Coordinate Plane

The video tutorial explains how to graph the inequality X < 4 on a coordinate plane. It covers the steps to determine whether the line should be dashed or solid based on the inequality symbol. The tutorial then demonstrates how to plot points using a T table and draw a vertical dashed line at X = 4. Finally, it guides viewers on shading the correct region to represent the solution set, emphasizing that the shaded area includes points where X is less than 4.

What is the first step in graphing the inequality x < 4 on the coordinate plane?

• Graph the borderline x = 4

• Graph the line y = 4

• Shade the region where x > 4

• Plot the point (0, 4)

How do you decide if the line should be solid or dashed when graphing an inequality?

• Based on the color of the line

• By the slope of the line

• By checking if the inequality includes an equal sign

• By the length of the line

What does a dashed line indicate when graphing an inequality?

• The line is horizontal

• The line is not part of the solution

• The line is part of the solution

• The line is vertical

What values can y take when graphing the line x = 4?

• y must be positive

• y can be any value

• y must be 4

• y must be 0

Which points are used to plot the line x = 4?

• (0, 0) and (2, 2)

• (4, 4) and (4, 6)

• (0, 4) and (2, 4)

• (4, 0) and (4, 2)

How can you determine if the line x = 4 is vertical or horizontal?

• By checking the slope

• By checking the intercept

• By checking if x is constant

• By checking if y is constant

In which direction should you shade for the inequality x < 4?

• Below the line

• To the left of the line

• Above the line

• To the right of the line

What does the shaded region represent in the graph of x < 4?

• Points where x > 4

• Points where x = 4

• Points where x < 4

• Points where y < 4

What do points on the line x = 4 represent in the context of the inequality x < 4?

• They do not satisfy the inequality

• They satisfy the inequality

• They are part of the solution

• They are irrelevant

Which region is not part of the solution for the inequality x < 4?

• The region to the left of the line

• The region to the right of the line

• The region below the line

• The region above the line