Graphing Linear Inequalities

Front

What does a dashed boundary line indicate in a linear inequality?

Back

A dashed boundary line indicates that the points on the line are not included in the solution set, which occurs when the inequality does not have an equal sign (e.g., < or >).

Front

What does a solid boundary line indicate in a linear inequality?

Back

A solid boundary line indicates that the points on the line are included in the solution set, which occurs when the inequality has an equal sign (e.g., ≤ or ≥).

Front

How do you determine if an inequality is represented by a dashed line?

Back

If the inequality symbol does not include 'or equal to' (e.g., < or >), it is represented by a dashed line.

Front

How do you determine if an inequality is represented by a solid line?

Back

If the inequality symbol includes 'or equal to' (e.g., ≤ or ≥), it is represented by a solid line.

Front

What is the general form of a linear inequality?

Back

Front

What does the symbol '≥' mean in a linear inequality?

Back

The symbol '≥' means 'greater than or equal to', indicating that the values on the line are included in the solution set.

Front

What does the symbol '≤' mean in a linear inequality?

Back

The symbol '≤' means 'less than or equal to', indicating that the values on the line are included in the solution set.

Front

How can you graph a linear inequality?

Back

1. Graph the corresponding linear equation as a solid or dashed line. 2. Choose a test point not on the line to determine which side of the line to shade. 3. Shade the region that satisfies the inequality.

Front

What is the significance of the slope in a linear inequality?

Back

The slope (m) indicates the steepness and direction of the line. A positive slope means the line rises from left to right, while a negative slope means it falls.

Front

What does the y-intercept represent in a linear inequality?

Back

The y-intercept (b) is the point where the line crosses the y-axis, representing the value of y when x = 0.