Graphing Inequalities in Two Variables

The video tutorial covers graphing inequalities in two variables, starting with a review of inequality symbols and their implications for graphing. It explains how to graph inequalities using dashed or solid lines based on the presence of an equal sign and how to shade regions above or below the line. The tutorial includes instructions for classwork and homework, discusses rearranging equations from standard form, and covers graphing vertical and horizontal lines. The lesson concludes with extra practice problems.

What type of line is used when the inequality does not include an equality sign?

• Solid line

• Dashed line

• No line

• Curved line

Where do you shade when the inequality symbol is 'greater than'?

• Above the line

• On the line

• Below the line

• No shading

In which direction do you shade for an inequality symbol 'less than'?

• No shading

• Above the line

• Below the line

• On the line

If an inequality includes the equality sign, what type of line should be used?

• No line

• Solid line

• Curved line

• Dashed line

How do you graph an inequality that includes 'y ≤ mx + b'?

• Using a dashed line

• Using a solid line

• No graphing needed

• Using a curved line

What happens to the inequality sign when you divide both sides by a negative number?

• It disappears

• It flips

• It remains the same

• It becomes an equality sign

What is the correct graphing approach when the inequality is rearranged into 'y > mx + b'?

• Shade on the line

• Shade below the line

• No shading

• Shade above the line

What type of line represents 'x = a number'?

• Horizontal line

• Vertical line

• Curved line

• No line

For a vertical line graph representing 'x < 4', where should you shade?

• To the left of the line

• To the right of the line

• Directly on the line

• No shading required

What does a horizontal line graph typically represent?

• y < a number

• x = a number

• x < a number

• y = a number