Graphing Linear Inequalities

Front

What is a linear inequality?

Back

A linear inequality is a mathematical statement that compares a linear expression to a value using inequality symbols such as <, >, ≤, or ≥.

Front

What does the symbol '>' indicate in a linear inequality?

Back

The symbol '>' indicates that the value on the left is greater than the value on the right.

Front

What does the symbol '<' indicate in a linear inequality?

Back

The symbol '<' indicates that the value on the left is less than the value on the right.

Front

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

Back

The symbol '≥' indicates that the value on the left is greater than or equal to the value on the right.

Front

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

Back

The symbol '≤' indicates that the value on the left is less than or equal to the value on the right.

Front

How do you graph a linear inequality with a '>' or '<' symbol?

Back

You use a dashed line to represent the boundary, indicating that points on the line are not included in the solution set.

Front

How do you graph a linear inequality with a '≥' or '≤' symbol?

Back

You use a solid line to represent the boundary, indicating that points on the line are included in the solution set.

Front

What is the solution set of a linear inequality?

Back

The solution set of a linear inequality is the set of all points (x, y) that satisfy the inequality.

Front

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

Back

You can substitute the coordinates of the point into the inequality. If the inequality holds true, the point is in the solution set.

Front

What is the significance of the boundary line in graphing linear inequalities?

Back

The boundary line separates the solution set from the non-solution set in the graph.