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 (e.g., <, >, ≤, ≥).

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.

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.

Front

What is the shaded region in a graph of a linear inequality?

Back

The shaded region represents all the solutions to the inequality, showing where the inequality holds true.

Front

How do you determine if a point is a solution to a linear inequality?

Back

Substitute the coordinates of the point into the inequality. If the inequality holds true, the point is a solution.

Front

What does it mean if a point lies on a dashed line in a graph of a linear inequality?

Back

It means that the point is not included in the solution set of the inequality.