Inequalities and Graphing Techniques

Front

What does a solid line indicate in graphing inequalities?

Back

A solid line indicates that the inequality includes the boundary line, meaning the symbol has 'or equal to' (≥ or ≤).

Front

What is the inequality representation for a graph that includes the line y = 2/5x + 1?

Back

The inequality is y ≥ 2/5x + 1.

Front

What does the inequality y ≤ 2/5x + 1 represent in graphing?

Back

It represents the area below or on the line y = 2/5x + 1.

Front

How do you determine if an inequality has a dashed line?

Back

A dashed line indicates that the inequality does not include the boundary line, meaning the symbol does not have 'or equal to' (>, <).

Front

What does the inequality y ≥ -3/4x + 3 indicate about the graph?

Back

It indicates the area above or on the line y = -3/4x + 3.

Front

What is the meaning of the inequality y > -2x - 4?

Back

It represents the area above the line y = -2x - 4, not including the line itself.

Front

What does the inequality y < 3x represent in graphing?

Back

It represents the area below the line y = 3x.

Front

How can you tell which graph represents the inequality y ≥ 1/2x + 1?

Back

Look for a solid line with shading above the line.

Front

What is the significance of the inequality symbol '≤'?

Back

It means 'less than or equal to', indicating that the boundary line is included.

Front

What does the inequality y > x indicate about the graph?

Back

It indicates the area above the line y = x.