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

The symbol '>' means 'greater than'.

Front

What does the symbol '<' represent in inequalities?

Back

The symbol '<' means 'less than'.

Front

What does the symbol '≥' represent in inequalities?

Back

The symbol '≥' means 'greater than or equal to'.

Front

What does the symbol '≤' represent in inequalities?

Back

The symbol '≤' means 'less than or equal to'.

Front

How do you graph the inequality y > x + 1?

Back

To graph y > x + 1, draw the line y = x + 1 as a dashed line (indicating that points on the line are not included) and shade the area above the line.

Front

How do you graph the inequality x ≤ -2?

Back

To graph x ≤ -2, draw a vertical line at x = -2 as a solid line (indicating that points on the line are included) and shade the area to the left of the line.

Front

What is a system of inequalities?

Back

A system of inequalities is a set of two or more inequalities that are considered together.

Front

How do you graph a system of inequalities?

Back

To graph a system of inequalities, graph each inequality on the same coordinate plane and identify the region where the shaded areas overlap.

Front

What does the solution to a system of inequalities represent?

Back

The solution to a system of inequalities represents all the points that satisfy all inequalities in the system.