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

In 'AND' inequalities, both conditions must be true for a solution to be valid.

Front

What does 'OR' mean in compound inequalities?

Back

In 'OR' inequalities, at least one of the conditions must be true for a solution to be valid.

Front

How is the graph of 'OR' inequalities represented?

Back

The graph of 'OR' inequalities is represented by shading that points away from each other and never crosses.

Front

How is the graph of 'AND' inequalities represented?

Back

The graph of 'AND' inequalities is represented by shading that always connects the two dots.

Front

What is the solution set for x ≥ -5 OR x < 4?

Back

The solution set includes all values of x that are greater than or equal to -5 or less than 4.

Front

What is the solution set for x ≤ -5 OR x > 4?

Back

The solution set includes all values of x that are less than or equal to -5 or greater than 4.

Front

What is the solution set for 2 ≤ x ≤ 4?

Back

The solution set includes all values of x that are greater than or equal to 2 and less than or equal to 4.

Front

What is the solution set for x > 2 and x < 4?

Back

The solution set includes all values of x that are greater than 2 and less than 4.

Front

What does the symbol '≥' mean?

Back

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