Solving Systems of Linear Inequalities

Front

What symbols indicate the use of a solid line when graphing an inequality?

Back

≤, ≥

Front

What is the inequality represented by the graph that has a shaded area above the line with a solid line?

Back

y ≥ -x + 1

Front

What does a dashed line represent when graphing an inequality?

Back

It indicates that the points on the line are not included in the solution (using < or >).

Front

How do you determine if an ordered pair is a solution to a system of inequalities?

Back

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

Front

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

Back

The region where the shaded areas of all inequalities overlap on the graph.

Front

What is the difference between a linear equation and a linear inequality?

Back

A linear equation has an equal sign (=), while a linear inequality uses <, >, ≤, or ≥.

Front

How do you graph the inequality y < 2x + 3?

Back

Graph the line y = 2x + 3 with a dashed line and shade below the line.

Front

What does the term 'feasible region' refer to in the context of linear inequalities?

Back

The area on the graph that satisfies all inequalities in the system.

Front

What is the first step in solving a system of linear inequalities by graphing?

Back

Graph each inequality on the same coordinate plane.

Front

What does it mean if a point lies on the boundary line of an inequality?

Back

If the line is solid, the point is included in the solution; if dashed, it is not.