Systems of Inequalities

Front

What is a system of inequalities?

Back

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

Tags

CCSS.8.EE.C.8B

Front

What does it mean if a system of inequalities has no solution?

Back

It means that there is no set of values that satisfies all inequalities in the system.

Tags

CCSS.HSA.REI.D.12

Front

What does it mean if a system of inequalities has infinite solutions?

Back

It means that there are countless sets of values 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

Substitute the point into each inequality; if it satisfies all, it is a solution.

Front

What type of line is used to represent the inequality 'y ≤ mx + b'?

Back

A solid line, indicating that points on the line are included in the solution.

Tags

CCSS.HSA.REI.D.12

Front

What type of line is used to represent the inequality 'y < mx + b'?

Back

A dashed line, indicating that points on the line are not included in the solution.

Tags

CCSS.HSA.REI.D.12

Front

What does the inequality 'y > 3' represent on a graph?

Back

The region above the horizontal line y = 3.

Tags

CCSS.HSA.REI.D.12

Front

What does the inequality 'x < 5' represent on a graph?

Back

The region to the left of the vertical line x = 5.

Tags

CCSS.6.EE.B.8

Front

How do you graph the inequality 'y < -2x + 4'?

Back

Graph the line y = -2x + 4 as dashed and shade below it.

Tags

CCSS.HSA.REI.D.12

Front

What is the solution set of the system: y < 2x + 1 and y > -x + 3?

Back

The region where the shaded areas of both inequalities overlap.

Tags

CCSS.HSA.REI.D.12