Graphing Systems of Inequalities

Front

What does a solid line represent when graphing an inequality?

Back

A solid line indicates that the points on the line are included in the solution set, meaning the inequality is 'greater than or equal to' (≥) or 'less than or equal to' (≤).

Front

What does a dotted line represent when graphing an inequality?

Back

A dotted line indicates that the points on the line are not included in the solution set, meaning the inequality is 'greater than' (>) or 'less than' (<).

Front

How do you determine if an ordered pair is a solution to a system of inequalities?

Back

Substitute the ordered pair into each inequality. If it satisfies all inequalities, it is a solution.

Front

What is the first step in graphing a system of inequalities?

Back

Graph each inequality on the same coordinate plane, using solid or dotted lines as appropriate.

Front

What does the shaded region in a graph of inequalities represent?

Back

The shaded region represents all the possible solutions that satisfy the inequalities.

Front

Back

First, graph the line y = 2x + 3 using a dotted line, then shade below the line to represent the solutions.