Formative 7b

Front

What is a system of inequalities?

Back

A system of inequalities is a set of two or more inequalities that share the same variables. The solution is the region where the graphs of the inequalities overlap.

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 coordinates of the point into each inequality. If the point satisfies all inequalities, it is a solution.

Front

What does the inequality symbol '>' represent?

Back

'>' means that the value on the left is greater than the value on the right.

Front

What does the inequality symbol '<' represent?

Back

'<'' means that the value on the left is less than the value on the right.

Front

What does the inequality symbol '≤' represent?

Back

'≤' means that the value on the left is less than or equal to the value on the right.

Front

What does the inequality symbol '≥' represent?

Back

'≥' means that the value on the left is greater than or equal to the value on the right.

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 region that satisfies the inequality.

Front

What is the solution set of a system of inequalities?

Back

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

Front

What is the significance of the point (0,0) in a system of inequalities?

Back

The point (0,0) is often tested to see if it is a solution to the system. If it satisfies all inequalities, it is part of the solution set.

Front

How do you identify the correct system of inequalities from a graph?

Back

Look for the boundary lines and the shaded regions. The inequalities will correspond to the direction of the shading and whether the lines are solid or dashed.