Graphing a system of linear inequalities that are parallel and shading the feasible region

The video tutorial explains how to graph systems of inequalities using different methods. It begins with an introduction to graphing inequalities and then demonstrates the intercept method for graphing lines. The tutorial covers plotting points, determining line types, and choosing test points for shading. It also includes graphing a second inequality and analyzing the results. The video concludes with a summary of the process for graphing systems of linear inequalities.

What are the two forms mentioned for graphing systems of inequalities?

• Slope-intercept and intercept forms

• Standard and quadratic forms

• Polar and Cartesian forms

• Exponential and logarithmic forms

In the intercept method, what is the X-intercept when Y is set to zero?

• X = 0

• X = 24

• X = 8

• X = -12

What type of line is used when the inequality is 'less than or equal to'?

• Solid line

• Dashed line

• Double line

• Dotted line

Which test point is commonly used to determine shading in graphing inequalities?

• (2, 2)

• (-1, -1)

• (0, 0)

• (1, 1)

What is the slope of the line in the second inequality?

• 1/2

• -1

• 3/2

• 2/3

What does it mean if a test point satisfies the inequality?

• The point is on the boundary line

• The point is in the shaded region

• The point is outside the feasible region

• The point is irrelevant

What is the feasible region in a system of inequalities?

• The area outside all boundary lines

• The area below the lowest line

• The area above the highest line

• The area where all inequalities overlap