Graphing inequalities

Front

What does it mean when a graph of an inequality is shaded above the line?

Back

It indicates that the solutions to the inequality are all the points above the line, meaning the y-values are greater than the values on the line.

Front

What does a dashed line represent in graphing inequalities?

Back

A dashed line indicates that the points on the line are not included in the solution set.

Front

What does a solid line represent in graphing inequalities?

Back

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

Front

How can you tell if an inequality will have a solid line?

Back

If the inequality symbol includes 'or equal to' (≥ or ≤), it will have a solid line.

Front

What is the inequality symbol for 'greater than'?

Back

>

Front

What is the inequality symbol for 'less than'?

Back

<

Front

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

Back

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

Front

What does it mean if a point lies on the boundary line of a graph?

Back

It means that the point is either included or not included in the solution set, depending on whether the line is solid or dashed.

Front

What is the solution set of an inequality?

Back

The solution set is the set of all points that satisfy the inequality.

Front

If the inequality is y > 2x + 1, how would you graph it?

Back

Graph the line y = 2x + 1 with a dashed line and shade above the line.