Graph linear inequalities

Front

What does a solid line indicate in a graph of a linear inequality?

Back

A solid line indicates that the inequality includes the boundary line, meaning the points on the line are part of the solution set (the symbol has 'or equal to').

Front

What does a dashed line indicate in a graph of a linear inequality?

Back

A dashed line indicates that the inequality does not include the boundary line, meaning the points on the line are not part of the solution set (the symbol does not have 'or equal to').

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, then the point is a solution.

Front

What is the general form of a linear inequality in two variables?

Back

Front

What is the difference between a linear equation and a linear inequality?

Back

Front

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

Back

The symbol '>' means that the values of the variable are greater than the value on the other side of the inequality, not including that value.

Front

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

Back

The symbol '<' means that the values of the variable are less than the value on the other side of the inequality, not including that value.

Front

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

Back

The symbol '≥' means that the values of the variable are greater than or equal to the value on the other side of the inequality.

Front

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

Back

The symbol '≤' means that the values of the variable are less than or equal to the value on the other side of the inequality.

Front

How can you graph a linear inequality?

Back

1. Graph the boundary line as solid or dashed based on the inequality. 2. Choose a test point not on the line to determine which side of the line to shade.