Graphing a system of inequalities when one inequality is a vertical boundary line

The video tutorial covers solving systems of linear inequalities by graphing. It begins with an introduction to the concept, followed by rewriting inequalities in slope-intercept form. The instructor demonstrates graphing these inequalities, using test points to determine the solution region. The tutorial also covers graphing vertical and horizontal lines and emphasizes the importance of shading the correct region where both inequalities are true.

What is the first step in rewriting an inequality in slope-intercept form?

Explain why the sign of the inequality must be flipped when multiplying or dividing by a negative number.

Describe the process of graphing the first inequality discussed in the lesson.

What is the significance of using test points when graphing inequalities?

How do you determine where to shade when graphing two inequalities?

What is the importance of shading only where both inequalities are true?

Summarize the key steps involved in solving systems of linear inequalities.