Graphing Inequalities

Front

What is an inequality?

Back

An inequality is a mathematical statement that compares two expressions using symbols such as <, >, ≤, or ≥.

Front

What does the symbol '≤' mean?

Back

The symbol '≤' means 'less than or equal to'.

Front

What does the symbol '≥' mean?

Back

The symbol '≥' means 'greater than or equal to'.

Front

How do you graph a linear inequality?

Back

To graph a linear inequality, first graph the corresponding equation as a line, then shade the region that satisfies the inequality.

Front

What is the solution set of an inequality?

Back

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

Front

What does it mean if a point is part of the solution set?

Back

If a point is part of the solution set, it means that when the coordinates of the point are substituted into the inequality, the statement is true.

Front

How can you determine if a point is in the solution set of an inequality?

Back

To determine if a point is in the solution set, substitute the point's coordinates into the inequality and check if the inequality holds true.

Front

What is the difference between '>' and '≥'?

Back

The symbol '>' means 'greater than' and does not include the boundary, while '≥' means 'greater than or equal to' and includes the boundary.

Front

What is a boundary line in graphing inequalities?

Back

A boundary line is the line that represents the equation of the inequality; it divides the graph into two regions.

Front

What does a dashed line indicate in graphing inequalities?

Back

A dashed line indicates that the points on the line are not included in the solution set (used for < or > inequalities).