Graphing inequalities

Front

What is an inequality?

Back

An inequality is a mathematical statement that compares two expressions and shows that one is greater than, less than, greater than or equal to, or less than or equal to the other.

Front

What does the symbol '>' represent in inequalities?

Back

Front

What does the symbol '<' represent in inequalities?

Back

Front

What does the symbol '≥' represent in inequalities?

Back

Front

What does the symbol '≤' represent in inequalities?

Back

Front

What is the slope of a line?

Back

Front

How do you graph a linear inequality?

Back

To graph a linear inequality, first graph the corresponding equation as a line. Use a dashed line for '<' or '>' and a solid line for '≤' or '≥'. Then shade the appropriate region based on the inequality.

Front

What does it mean if a graph is shaded above the line?

Back

If a graph is shaded above the line, it indicates that the solutions to the inequality are greater than the line's equation.

Front

What does it mean if a graph is shaded below the line?

Back

If a graph is shaded below the line, it indicates that the solutions to the inequality are less than the line's equation.

Front

What is the difference between a dashed line and a solid line in graphing inequalities?

Back

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