Solutions to Systems of Inequalities- Graphs!

Front

What is a system of inequalities?

Back

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

Tags

CCSS.HSA.REI.D.12

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

Back

If a point is not a solution, it means that when the coordinates are substituted into the inequalities, at least one inequality is not satisfied.

Front

What is the graphical representation of a system of inequalities?

Back

The graphical representation consists of the shaded regions of the inequalities on a coordinate plane, where the overlapping shaded area represents the solution set.

Tags

CCSS.HSA.REI.D.12

Front

What does the symbol '<' indicate in an inequality?

Back

The symbol '<' indicates that the value on the left is less than the value on the right.

Tags

CCSS.6.EE.B.8

Front

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

Back

The symbol '>' indicates that the value on the left is greater than the value on the right.

Tags

CCSS.6.EE.B.8

Front

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

Back

The symbol '≤' indicates that the value on the left is less than or equal to the value on the right.

Front

What does the symbol '≥' indicate in an inequality?

Back

The symbol '≥' indicates that the value on the left is greater than or equal to the value on the right.

Tags

CCSS.6.EE.B.8

Front

How do you graph a linear inequality?

Back

To graph a linear inequality, first graph the corresponding equation as a line. Use a dashed line for '<' or '>' and a solid line for '≤' or '≥'. Then shade the appropriate region.

Tags

CCSS.HSA.REI.D.12

Front

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

Back

The intersection of shaded regions represents the set of all solutions that satisfy all inequalities in the system.

Tags

CCSS.HSA.REI.D.12