System of Inequalities

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 region where the shaded areas of the inequalities overlap.

Tags

CCSS.HSA.REI.D.12

Front

What does it mean if a line is dotted in a graph of an inequality?

Back

A dotted line indicates that the points on the line are not included in the solution set of the inequality.

Tags

CCSS.HSA.REI.D.12

Front

What does it mean if a line is solid in a graph of an inequality?

Back

A solid line indicates that the points on the line are included in the solution set of the inequality.

Tags

CCSS.HSA.REI.D.12

Front

How do you determine if a point is a solution to an inequality?

Back

Substitute the coordinates of the point into the inequality. If the inequality holds true, then the point is a solution.

Front

What is the slope of a line?

Back

Tags

CCSS.8.EE.B.5

Front

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

Back

It represents all the points above the horizontal line y = 3, not including the line itself.

Tags

CCSS.HSA.REI.D.12

Front

What does the inequality y ≥ 3 represent on a graph?

Back

It represents all the points on and above the horizontal line y = 3, including the line itself.

Tags

CCSS.HSA.REI.D.12

Front

How do you graph the inequality y < 2x + 1?

Back

Graph the line y = 2x + 1 as a dotted line and shade below the line to represent all points where y is less than 2x + 1.

Tags

CCSS.HSA.REI.D.12

Front

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

Back

The solution is the region where the shaded areas of both inequalities overlap on the graph.

Tags

CCSS.HSA.REI.D.12

Front

What does the inequality y ≤ 2/5x + 1 represent?

Back

It represents all the points on and below the line y = 2/5x + 1, including the line itself.

Tags

CCSS.HSA.REI.D.12