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 inequalities with the same variables. The solution is the region where the graphs of the inequalities overlap.

Front

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

Back

A point is a solution if it satisfies all inequalities in the system when substituted into them.

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.

Front

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

Back

The symbol '≥' indicates that the value on the left is greater than or equal to 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 or equal to the value on the right.

Front

What is the difference between a solid line and a dotted line when graphing inequalities?

Back

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

Front

How do you graph the inequality y < 3?

Back

To graph y < 3, draw a horizontal dotted line at y = 3 and shade the area below the line.

Front

What is the solution set of the inequality y > 2x - 4?

Back

The solution set includes all points above the line y = 2x - 4.

Front

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

Back

An inequality will have a solid line if it includes an equal sign (≥ or ≤).