Master Graphing a system of horizontal and vertical inequalities

The video tutorial explains how to graph vertical and horizontal linear inequalities. It covers the basics of identifying Y-intercepts and slopes, and how inequalities affect graphing by introducing shading and boundary lines. The tutorial provides examples of vertical and horizontal lines, using test points to determine shading, and discusses feasible regions where inequalities intersect. It also includes examples of non-intersecting inequalities, highlighting the absence of a feasible region.

What is the main challenge students face when graphing inequalities compared to equations?

• Calculating the X-intercept

• Understanding shading and boundary lines

• Finding the Y-intercept

• Identifying the slope

When graphing a vertical line for an inequality, what determines if the line is solid or dashed?

• The Y-intercept

• The slope of the line

• The inequality sign

• The value of X

How do you determine the shading direction for a vertical line inequality?

• By using the slope

• By using a test point

• By checking the X-intercept

• By calculating the Y-intercept

What is the feasible region in a system of inequalities?

• The area where the lines intersect

• The area above the horizontal line

• The area below the vertical line

• The area where both inequalities are true

When graphing horizontal lines, what remains constant regardless of the X value?

• The slope

• The X-intercept

• The inequality sign

• The Y value

In a system of inequalities, what does it mean if the lines do not intersect?

• The lines are parallel

• The system has infinite solutions

• There is no feasible region

• The system is inconsistent

How can you identify the feasible region in a system with both vertical and horizontal lines?

• By calculating the Y-intercept

• By checking the slope

• By using test points

• By finding the intersection points