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 or equal to the value on the right.

Front

What does a solid line represent in the graph of a linear inequality?

Back

A solid line represents that points on the line are included in the solution set (used with '≤' or '≥').

Front

What does a dashed line represent in the graph of a linear inequality?

Back

A dashed line indicates that points on the line are not included in the solution set (used with '<' or '>').

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

Back

The shaded region represents all the solutions to the inequality.

Front

How can you tell if an inequality will have a dashed line?

Back

An inequality will have a dashed line if it uses the symbols '<' or '>'.

Front

What is the first step in graphing a linear inequality?

Back

The first step is to graph the corresponding linear equation as if it were an equality.

Front

What does the inequality 'y < -3/4 x + 3' represent graphically?

Back

It represents all the points below the line defined by the equation y = -3/4 x + 3.

Front

If a point lies on the line of a dotted line graph, is it a solution for 'y < mx + b'?

Back

No, because the dotted line indicates that points on the line are not included in the solution.