Solving Systems of Inequalities

Front

What is a system of inequalities?

Back

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

Front

What does the symbol '>' represent in an inequality?

Back

It means 'greater than'.

Front

What does the symbol '<' represent in an inequality?

Back

It means 'less than'.

Front

What does the symbol '≥' represent in an inequality?

Back

It means 'greater than or equal to'.

Front

What does the symbol '≤' represent in an inequality?

Back

It means 'less than or equal to'.

Front

When graphing the inequality y > 2x - 4, what type of line is used?

Back

A dashed line is used because the inequality does not include equality.

Front

When graphing the inequality y ≤ 2x - 4, what type of line is used?

Back

A solid line is used because the inequality includes equality.

Front

What is the solution set of a system of inequalities?

Back

The set of all points that satisfy all inequalities in the system.

Front

How do you determine if a point is a solution to a system of inequalities?

Back

Substitute the point into each inequality and check if all inequalities are satisfied.

Front

What does it mean if a system of inequalities has no solution?

Back

It means there are no points that satisfy all inequalities in the system.