Graphing Inequalities

Front

What is an inequality in mathematics?

Back

An inequality is a mathematical statement that compares two expressions and shows that one is greater than, less than, greater than or equal to, or less than or equal to the other.

Front

What does the symbol '≥' represent?

Back

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

Front

What does the symbol '≤' represent?

Back

The symbol '≤' means 'less than or equal to'.

Front

How do you represent the inequality 'x is less than 5' graphically?

Back

You would draw a number line, place an open circle at 5, and shade to the left.

Front

What does a closed circle on a number line indicate?

Back

A closed circle indicates that the number is included in the solution set (e.g., for 'x ≤ 5').

Front

What does an open circle on a number line indicate?

Back

An open circle indicates that the number is not included in the solution set (e.g., for 'x < 5').

Front

How do you graph the inequality 'x > 3'?

Back

You place an open circle at 3 and shade to the right.

Front

What is the difference between '>' and '≥'?

Back

'>' means greater than and does not include the number, while '≥' means greater than or equal to and includes the number.

Front

How would you graph the inequality '2.75 < d'?

Back

You would place an open circle at 2.75 and shade to the right.

Front

What does the inequality '11 ≤ a' mean?

Back

It means that 'a' can be 11 or any number greater than 11.