Graphing Linear Inequalities

Front

What indicates a solid boundary line in a linear inequality?

Back

The symbol has 'or equal to.'

Front

What indicates a dashed boundary line in a linear inequality?

Back

The symbol does not have 'or equal to.'

Front

What is the solution set of a linear inequality?

Back

The set of all points that satisfy the inequality.

Front

How do you graph a linear inequality?

Back

1. Graph the boundary line. 2. Use a solid line for '≤' or '≥' and a dashed line for '<' or '>'. 3. Shade the appropriate region based on the inequality.

Front

Back

Front

Back

Front

How can you determine if a point is in the solution set of an inequality?

Back

Substitute the point's coordinates into the inequality. If the inequality holds true, the point is in the solution set.

Front

What is the difference between 'greater than' and 'greater than or equal to' in inequalities?

Back

'Greater than' (>) does not include the boundary line, while 'greater than or equal to' (≥) includes the boundary line.

Front

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

Back

The slope indicates the steepness of the line and the direction of the inequality (positive slope means the line rises, negative slope means it falls).

Front

What does the term 'solution set' refer to in the context of inequalities?

Back

The solution set refers to all the points that satisfy the inequality.