Graphing Systems of Inequalities

The video tutorial covers graphing systems of inequalities, starting with a recap of linear equations and inequalities. It explains the concept of systems, where multiple graphs are on the same axes, and how solutions are found in the double-shaded region. An example is provided, demonstrating how to graph two inequalities, highlighting the importance of line types and shading directions.

What does a system of inequalities involve?

• One graph on a set of axes

• More than one graph on the same set of axes

• A single inequality

• A single equation

Where is the solution for a system of linear equations found?

• Where the lines are parallel

• Where the lines intersect

• In the shaded region

• On the x-axis

In a graph of a linear inequality, where is the solution found?

• On the line

• In the unshaded region

• In the shaded region

• At the origin

What is the solution for a system of linear inequalities?

• On the x-axis

• In the unshaded region

• In the double-shaded region

• Where the lines intersect

What does a dotted line in a graph of inequalities indicate?

• The line is not part of the solution

• The solution cannot be on the line

• The line is part of the solution

• The solution can be on the line

What does a 'less than' symbol in an inequality indicate about the line?

• The line is dashed

• The line is bold

• The line is dotted

• The line is solid

What is the slope of the first inequality in the example?

• 1 over 3

• 3 over 1

• 2 over 1

• 1 over 2

What does a 'greater than or equal to' symbol in an inequality indicate about the line?

• The line is dotted

• The line is dashed

• The line is solid

• The line is bold

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

• 1 over 2

• 2 over 1

• Negative 1 over 3

• 1 over 3

Where should you label the solution in a graph of a system of inequalities?

• In the unshaded region

• On the y-axis

• In the double-shaded area

• On the x-axis