Graphing Compound Inequalities

Front

What is a compound inequality?

Back

A compound inequality is an inequality that combines two or more simple inequalities using the words 'and' or '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

When graphing the inequality x < 3, what type of circle is used?

Back

An open circle is used when graphing x < 3.

Front

When graphing the inequality x ≤ 3, what type of circle is used?

Back

A closed circle is used when graphing x ≤ 3.

Front

What does the inequality 0 ≤ x < 5 represent on a number line?

Back

It represents all numbers from 0 to 5, including 0 but not including 5.

Front

How do you graph the compound inequality x < -2 or x > 3?

Back

You graph two separate regions: one to the left of -2 (open circle at -2) and one to the right of 3 (open circle at 3).

Front

What is the difference between 'and' and 'or' in compound inequalities?

Back

'And' means both conditions must be true at the same time, while 'or' means at least one condition must be true.

Front

What does the inequality x ≥ -5 or x < 4 look like on a number line?

Back

It includes all numbers greater than or equal to -5 and all numbers less than 4.

Front

How do you represent the inequality x > 2 on a graph?

Back

You use an open circle at 2 and shade to the right.