Systems of Linear Inequalities

Front

What is a system of linear inequalities?

Back

A system of linear inequalities is a set of two or more linear inequalities that involve the same variables. The solution is the region where the graphs of the inequalities overlap.

Front

Are the points on the boundary line part of the solution set?

Back

Yes, they are part of the solution set if the inequality is 'greater than or equal to' or 'less than or equal to'.

Front

What does a dashed line represent in a graph of an inequality?

Back

A dashed line indicates that the points on the line are not included in the solution set.

Front

What does a solid line represent in a graph of an inequality?

Back

A solid line indicates that the points on the line are included in the solution set.

Front

How can you tell if an inequality will have a solid line?

Back

If the inequality has 'or equal to' in it, it will have a solid line.

Front

Is (-2,4) a solution to the system of inequalities y < 2x + 3?

Back

Yes, (-2,4) is a solution because it satisfies the inequality.

Front

Is (0,0) a solution to the system of inequalities y > x - 1?

Back

No, (0,0) is not a solution because it does not satisfy the inequality.

Front

What is the graphical representation of a linear inequality?

Back

The graphical representation of a linear inequality is a shaded region on one side of a line, indicating all the solutions to the inequality.

Front

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

Back

The symbol '>' indicates that the value on the left is greater than the value on the right.

Front

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

Back

The symbol '<' indicates that the value on the left is less than the value on the right.