TPC 2-6 FLASHCARD (System of Linear Inequalities)

Front

What does the inequality y < 2x + 3 represent when graphed?

Back

The area below the line y = 2x + 3, with a dashed line indicating that points on the line are not included.

Front

What is the significance of a solid line in graphing inequalities?

Back

A solid line indicates that points on the line are included in the solution set, used for inequalities with ≤ or ≥.

Front

What does a dashed line indicate in the context of inequalities?

Back

A dashed line indicates that points on the line are not included in the solution set, used for inequalities with < or >.

Front

Which symbols indicate that a solid line should be used when graphing?

Back

≤ and ≥.

Front

Which symbols indicate that a dashed line should be used when graphing?

Back

< and >.

Front

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

Back

Substitute the point into each inequality; if it satisfies all inequalities, it is a solution.

Front

What is a solution set in the context of a system of linear inequalities?

Back

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

Front

What does the ordered pair (1, 0) represent in the context of a system of inequalities?

Back

It is a solution to the system, meaning it satisfies all inequalities.

Front

How can you check if (0, 0) is a solution to a system of inequalities?

Back

Substitute (0, 0) into each inequality and verify if all are true.

Front

What is the graphical representation of the inequality y ≥ 2x + 1?

Back

A solid line for y = 2x + 1 with shading above the line.