Inequalities

Front

What is an inequality?

Back

An inequality is a mathematical statement that compares two expressions using symbols such as <, >, ≤, or ≥.

Front

What does the symbol '>' mean in an inequality?

Back

The symbol '>' means 'greater than'. For example, x > 5 means x is greater than 5.

Front

What does the symbol '<' mean in an inequality?

Back

The symbol '<' means 'less than'. For example, x < 3 means x is less than 3.

Front

What does the symbol '≥' mean in an inequality?

Back

The symbol '≥' means 'greater than or equal to'. For example, x ≥ 4 means x is greater than or equal to 4.

Front

What does the symbol '≤' mean in an inequality?

Back

The symbol '≤' means 'less than or equal to'. For example, x ≤ 2 means x is less than or equal to 2.

Front

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

Back

'At least' is represented by using the '≥' symbol. For example, 'at least 10' is written as x ≥ 10.

Front

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

Back

'At most' is represented by using the '≤' symbol. For example, 'at most 5' is written as 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. For example, x > 2 is represented with an open circle at 2.

Front

What does a closed circle on a number line indicate?

Back

A closed circle indicates that the number is included in the solution. For example, x ≥ 3 is represented with a closed circle at 3.

Front

How do you graph the inequality x > -2?

Back

To graph x > -2, place an open circle at -2 and shade to the right.