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 general form of a linear inequality?

Back

Front

How do you graph a linear inequality?

Back

1. Graph the boundary line (solid or dashed). 2. Choose a test point not on the line. 3. Determine if the point satisfies the inequality. 4. Shade the appropriate side of the line.

Front

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

Back

It means that the values of y are greater than the values of the linear expression.

Front

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

Back

It means that the values of y are less than the values of the linear expression.

Front

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

Back

It means that the values of y are greater than or equal to the values of the linear expression.

Front

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

Back

It means that the values of y are less than or equal to the values of the linear expression.

Front

How can you tell 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 difference between a solid line and a dashed line in graphing inequalities?

Back

A solid line indicates that points on the line are included in the solution (≥ or ≤), while a dashed line indicates that points on the line are not included (> or <).