Writing & Graphing Inequalities

Front

What does the inequality x ≤ 24 represent?

Back

It means that x can be any number that is less than or equal to 24.

Front

Which symbol is used to represent 'at least'?

Back

The symbol ≥ is used to represent 'at least'.

Front

What type of circle is used when graphing z ≥ 4?

Back

A closed circle is used when graphing z ≥ 4.

Front

What does the inequality 2.75 < d mean?

Back

It means that d can be any number greater than 2.75.

Front

What is the difference between < and ≤?

Back

< means 'less than' and does not include the number, while ≤ means 'less than or equal to' and includes the number.

Front

How would you graph the inequality x > 5?

Back

You would use an open circle at 5 and shade to the right.

Front

What does the inequality x ≥ 10 indicate?

Back

It indicates that x can be any number that is 10 or greater.

Front

If a graph shows an open circle at 3, what inequality does it represent?

Back

It represents the inequality x < 3 or x > 3, depending on the direction of shading.

Front

What does the phrase 'no more than' indicate in an inequality?

Back

It indicates the use of the symbol ≤.

Front

How do you represent 'at most 15' in inequality form?

Back

You would write it as x ≤ 15.