Solving a system of inequalities by graphing and shading

The video tutorial covers systems of inequalities, focusing on graphing two inequalities and finding their intersection. The instructor explains how to convert inequalities into slope-intercept form, plot them on a graph, and use test points to determine the solution region. The lesson emphasizes understanding the graphical representation of inequalities and identifying the area where both conditions are satisfied.

What is the main focus of today's lesson?

• Understanding quadratic equations

• Solving equations

• Graphing systems of inequalities

• Learning about fractions

When converting an inequality to slope-intercept form, what is the first step?

• Subtract the x-term from both sides

• Add the x-term to both sides

• Multiply both sides by 2

• Divide both sides by the y-term

How do you determine the type of line to draw for the inequality y < -x + 4?

• By the x-intercept

• By the inequality symbol

• By the y-intercept

• By the slope value

What is the y-intercept of the inequality y ≥ x - 3?

• 3

• 1

• -3

• 0

Which region is shaded when both inequalities are true?

• Below both lines

• Above both lines

• Where the lines intersect

• To the left of both lines