Graphing Compound Inequalities

Front

What is a compound inequality?

Back

A compound inequality combines two or more inequalities using 'AND' or 'OR'.

Front

What does 'AND' mean in compound inequalities?

Back

'AND' means that both conditions must be true at the same time.

Front

What does 'OR' mean in compound inequalities?

Back

'OR' means that at least one of the conditions must be true.

Front

How do you graph 'OR' inequalities?

Back

The lines or arrows point opposite directions and never cross.

Front

What does a solid closed circle indicate on a graph?

Back

It indicates that the endpoint is included in the solution (for ≤ or ≥).

Front

What does an open circle indicate on a graph?

Back

It indicates that the endpoint is not included in the solution (for < or >).

Front

How do you graph 'AND' inequalities?

Back

The line or arrows connect the two dots.

Front

What is the solution set for the inequality x ≤ -2 OR x > 5?

Back

The solution set includes all values less than or equal to -2 and all values greater than 5.

Front

What is the compound inequality represented by the graph with endpoints -2 and 2?

Back

-2 ≤ x ≤ 2.

Front

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

Back

'Less than' (<) does not include the endpoint, while 'less than or equal to' (≤) does.