Formative 7b

Front

What is a system of inequalities?

Back

A system of inequalities is a set of two or more inequalities that share the same variables. The solution is the set of all points that satisfy all inequalities in the system.

Tags

CCSS.8.EE.C.8B

Front

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

Back

To determine if a point is a solution, substitute the point's coordinates into each inequality. If the point satisfies all inequalities, it is a solution.

Front

What does the symbol '≤' mean in an inequality?

Back

'≤' means 'less than or equal to'. It indicates that the value on the left can be less than or equal to the value on the right.

Tags

CCSS.6.EE.B.8

Front

What does the symbol '>' mean in an inequality?

Back

'>' means 'greater than'. It indicates that the value on the left must be strictly greater than the value on the right.

Tags

CCSS.6.EE.B.8

Front

What is the graphical representation of a linear inequality?

Back

The graphical representation of a linear inequality is a half-plane divided by a line. The line is solid if the inequality includes equality (≤ or ≥) and dashed if it does not (< or >).

Tags

CCSS.HSA.REI.D.12

Front

Back

Tags

CCSS.HSA.REI.D.12

Front

What is the solution set of a system of inequalities?

Back

The solution set is the region on the graph where the shaded areas of all inequalities overlap. It contains all points that satisfy all inequalities in the system.

Tags

CCSS.HSA.REI.D.12

Front

What does it mean if a point lies outside the solution set of a system of inequalities?

Back

If a point lies outside the solution set, it means that it does not satisfy at least one of the inequalities in the system.

Tags

CCSS.HSA.REI.D.12

Front

How can you solve a system of inequalities by graphing?

Back

1. Graph each inequality on the same coordinate plane. 2. Identify the overlapping shaded region. 3. This region represents the solution set.

Tags

CCSS.HSA.REI.D.12

Front

What is the difference between 'y ≤ mx + b' and 'y < mx + b'?

Back

'y ≤ mx + b' includes the line (solid line), while 'y < mx + b' does not include the line (dashed line).

Tags

CCSS.HSA.REI.D.12