Writing Inequalities

Front

What does the inequality x ≤ 20 represent?

Back

It means that the value of x can be 20 or any number less than 20.

Front

When would you use a closed circle on a number line?

Back

A closed circle is used when the value is included in the inequality (e.g., x ≤ 4).

Front

What does the inequality x ≥ 20 indicate?

Back

It indicates that x can be 20 or any number greater than 20.

Front

What does the inequality x < -4 mean?

Back

It means that x can be any number less than -4.

Front

What does the inequality x > 8 signify?

Back

It signifies that x can be any number greater than 8.

Front

What is the difference between open and closed circles in graphing inequalities?

Back

Open circles indicate that the number is not included (e.g., x < 6), while closed circles indicate that the number is included (e.g., x ≤ 6).

Front

How do you represent 'no more than' in an inequality?

Back

'No more than' is represented as ≤ (less than or equal to).

Front

How do you represent 'at least' in an inequality?

Back

'At least' is represented as ≥ (greater than or equal to).

Front

What does the inequality x < 20 mean in a real-world context?

Back

It means that the value of x must be less than 20, such as spending less than 20 dollars.

Front

If a student must read for a minimum of 30 minutes, how would you write this as an inequality?

Back

x ≥ 30, where x is the number of minutes read.