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.

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.

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.

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

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.

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.

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.

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.

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.