Graphing Systems of Inequalities

The video tutorial explains systems of inequalities, demonstrating how to graph them and find solution regions. It covers plotting points using slopes and y-intercepts, drawing solid or dotted lines based on inequality signs, and shading regions to represent solutions. The tutorial includes multiple examples, highlighting the process of identifying areas where inequalities overlap and determining possible solutions within shaded regions.

What is the y-intercept of the first inequality graphed?

• 4

• -1

• 2

• 6

What type of line is used when the inequality sign is 'greater than or equal to'?

• Dashed line

• No line

• Solid line

• Dotted line

In the second inequality, what direction is shaded?

• Above the line

• Below the line

• Both sides

• No shading

What color is used to indicate the intersection shading area?

• Red

• Blue

• Green

• Purple

What is the slope of the inequality graphed in the third example?

• -1/2

• 1

• -1

• 1/10

Which inequality has a y-intercept of 10?

• y < -3

• y <= x + 3

• y > x - 8

• y < -x + 10

What is the slope of the inequality 'y > x - 8'?

• 0

• 1/10

• -1

• 1

For the inequality '4y < 16 - 2x', what is the simplified form of y?

• y > 4 + 1/2x

• y < 4 - 1/2x

• y < 4 + 1/2x

• y > 4 - 1/2x

What type of line represents 'y <= x + 3'?

• Dashed line

• No line

• Solid line

• Dotted line

Which y-intercept corresponds to the inequality 'y < -3'?

• -3

• 10

• 0

• 3