Warm up: Graphing inequalties

Front

What is an inequality?

Back

An inequality is a mathematical statement that compares two expressions and shows that one is greater than, less than, greater than or equal to, or less than or equal to the other.

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 of the inequality.

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 of the inequality.

Front

How do you determine which direction to shade when graphing an inequality?

Back

If the inequality is 'greater than' (>) or 'greater than or equal to' (≥), shade above the line. If it is 'less than' (<) or 'less than or equal to' (≤), shade below the line.

Front

What is the solution set of an inequality?

Back

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

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Front

What is the difference between 'greater than' and 'greater than or equal to'?

Back

'Greater than' (>) does not include the boundary line, while 'greater than or equal to' (≥) includes the boundary line.

Front

What is the significance of the shaded region in a graph of an inequality?

Back

The shaded region represents all the possible solutions to the inequality.

Front

How do you write the inequality for a graph that is shaded above a dashed line?

Back