Graphing a linear inequality using a table

The video tutorial explains how to graph the inequality Y > 1 on a Cartesian coordinate system. It begins with a review of graphing equations and inequalities, focusing on graphing y = 1 using various methods such as intercepts and tables of values. The tutorial then discusses the significance of inequality symbols, particularly the use of dashed lines to represent non-inclusive boundaries. Finally, it demonstrates how to graph Y > 1, including selecting test points and determining the correct shading area to represent the solution set.

What is the first step in transitioning from graphing linear equations to graphing inequalities on a Cartesian plane?

• Shade the entire graph.

• Use a number line to graph the inequality.

• Ignore the inequality sign and graph the equation first.

• Graph the inequality directly.

Which method is NOT mentioned for graphing y = 1?

• Using a quadratic equation.

• Using the slope-intercept form.

• Finding the x and y intercepts.

• Using a table of values.

What type of line is used to represent the inequality y > 1?

• Thick line

• Solid line

• Dotted line

• Dashed line

What does an open circle on a number line represent in the context of inequalities?

• The value is zero.

• The value is not included.

• The value is included.

• The value is negative.

What is the best test point to use when determining where to shade on a graph?

• (1,1)

• (-1,-1)

• (2,2)

• (0,0)

If the test point (0,0) does not satisfy the inequality, where should you shade?

• To the left of the line

• To the right of the line

• Above the line

• Below the line

What does shading above the line y = 1 represent in the context of the inequality y > 1?

• No points satisfy the inequality.

• All points above the line satisfy the inequality.

• All points below the line satisfy the inequality.

• All points on the line satisfy the inequality.