Graphing Systems of Inequalities

The video tutorial explains how to graph a system of inequalities using slope-intercept form. It begins by plotting the first inequality with a Y-intercept of -2 and a positive slope of 2. The second inequality is graphed with a Y-intercept of 2 and a negative slope of -1. The tutorial then demonstrates shading the regions above or below the lines based on the inequality symbols. Finally, it identifies the intersection of the shaded regions, which represents the solution set that satisfies both inequalities.

What is the first step in graphing a system of inequalities?

• Identify the x-intercept

• Convert to standard form

• Identify the slope-intercept form

• Find the vertex

What is the y-intercept of the first inequality?

• 1

• 0

• -2

• 2

How do you determine the slope of the first inequality?

• By using the quadratic formula

• By finding the midpoint

• By looking at the coefficient of x

• By dividing the y-intercept by the x-intercept

What is the y-intercept of the second inequality?

• -2

• 0

• -1

• 2

What is the slope of the second inequality?

• 2

• -2

• -1

• 1

For the first inequality, where should the shading be applied?

• To the left of the line

• Below the line

• Above the line

• On the line

What does the 'greater than or equal to' symbol indicate for shading?

• Shade above the line

• Do not shade

• Shade below the line

• Shade on the line only

For the second inequality, where should the shading be applied?

• To the right of the line

• Below the line

• Above the line

• On the line

What does the 'less than or equal to' symbol indicate for shading?

• Shade above the line

• Shade below the line

• Do not shade

• Shade on the line only

What color represents the region that satisfies the first inequality?

• Blue

• Green

• Yellow

• Red