Formative 7b

Front

What is a solution to a system of inequalities?

Back

A solution is a point that satisfies all inequalities in the system.

Front

What does the notation y ≤ 3x represent?

Back

It represents all points (x, y) where y is less than or equal to 3 times x.

Front

What is the difference between a solid line and a dashed line in graphing inequalities?

Back

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

Front

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

Back

Substitute the point's coordinates into each inequality; if all inequalities are satisfied, it is a solution.

Front

What does shading above a line in a graph indicate?

Back

It indicates that the solution includes all points above the line.

Front

What does shading below a line in a graph indicate?

Back

It indicates that the solution includes all points below the line.

Front

What is the significance of the intersection of shaded regions in a graph of inequalities?

Back

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

Front

What does the term 'system of inequalities' mean?

Back

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

Front

How can you graph the inequality y > 3x?

Back

Graph the line y = 3x as a dashed line and shade above it.

Front

What does it mean if a point is not a solution to a system of inequalities?

Back

It means that the point does not satisfy at least one of the inequalities.