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.

Tags

CCSS.HSA.REI.D.12

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.

Tags

CCSS.HSA.REI.D.12

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 >).

Tags

CCSS.HSA.REI.D.12

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.

Tags

CCSS.HSA.REI.D.12

Front

What does shading below a line in a graph indicate?

Back

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

Tags

CCSS.HSA.REI.D.12

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.

Tags

CCSS.HSA.REI.D.12

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.

Tags

CCSS.HSA.REI.D.12

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.