Graphing Inequalities and Intercepts

Miss Smith's video tutorial covers graphing inequalities, highlighting the differences from regular equations. Key rules include handling negative numbers, line types, and shading. The video provides examples of graphing linear and vertical line inequalities, demonstrating step-by-step processes to achieve accurate graphs.

What is a key difference between graphing equations and inequalities?

• Inequalities require a different coordinate system.

• Equations use dotted lines while inequalities use solid lines.

• Inequalities involve shading regions on the graph.

• Equations require more complex calculations.

When graphing an inequality, what happens if you multiply or divide by a negative number?

• The graph becomes a vertical line.

• The graph becomes a horizontal line.

• The inequality sign flips direction.

• The inequality sign remains the same.

What type of line is used for a 'less than' inequality without an 'equal to' component?

• Dashed line

• Dotted line

• Solid line

• Bold line

If an inequality is 'greater than or equal to', what type of line should be used?

• Dashed line

• Solid line

• Invisible line

• Dotted line

What does it mean if an inequality has a solid line?

• The inequality is strict

• The inequality includes the boundary

• The inequality is undefined

• The inequality is a vertical line

How do you graphically represent a 'less than or equal to' inequality?

• With a dotted line and shading above

• With a solid line and shading below

• With a solid line and shading above

• With a dashed line and shading above

What does the inequality y ≤ mx + b indicate about the line?

• The line is invisible

• The line is dashed

• The line is solid

• The line is dotted

What does a dotted line represent in an inequality graph?

• The inequality is a vertical line

• The inequality is undefined

• The inequality includes the boundary

• The inequality is strict

What type of line is used for the inequality y ≥ mx + b?

• Dashed line

• Invisible line

• Solid line

• Dotted line

How do you graphically represent a 'greater than' inequality?

• With a dotted line and shading above

• With a dotted line and shading below

• With a solid line and shading above

• With a dashed line and shading below