Graphing Inequalities Review

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 > 2?

Back

To graph y > 2, draw a dashed horizontal line at y = 2 and shade the area above the line.

Front

How do you graph the inequality y ≤ 3x + 1?

Back

To graph y ≤ 3x + 1, draw a solid line for y = 3x + 1 and shade below the line.

Front

What is the solution set of the inequality y < 4?

Back

The solution set includes all points above the line y = 4, not including the line itself.

Front

What is a system of inequalities?

Back

A system of inequalities is a set of two or more inequalities with the same variables.

Front

How do you find the solution to a system of inequalities?

Back

To find the solution, graph each inequality on the same coordinate plane and identify the overlapping shaded region.