Basic Inequalities

Front

What is an inequality?

Back

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

Front

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

Back

The symbol '<' means 'less than'. It indicates that the value on the left is smaller than the value on the right.

Front

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

Back

The symbol '>' means 'greater than'. It indicates that the value on the left is larger than the value on the right.

Front

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

Back

The symbol '≤' means 'less than or equal to'. It indicates that the value on the left is either smaller than or equal to the value on the right.

Front

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

Back

The symbol '≥' means 'greater than or equal to'. It indicates that the value on the left is either larger than or equal to the value on the right.

Front

How do you represent a situation where a value is less than a certain number?

Back

You use the '<' symbol. For example, if a value 'p' is less than 45, it is represented as p < 45.

Front

How do you represent a situation where a value is at most a certain number?

Back

You use the '≤' symbol. For example, if a value 'z' can be at most 100, it is represented as z ≤ 100.

Front

How do you represent a situation where a value is at least a certain number?

Back

You use the '≥' symbol. For example, if a value 'm' is at least 250, it is represented as m ≥ 250.

Front

How do you represent a situation where a value is greater than a certain number?

Back

You use the '>' symbol. For example, if a value 'p' is greater than 10, it is represented as p > 10.

Front

What is the difference between an open dot and a closed dot on a number line when graphing inequalities?

Back

An open dot indicates that the number is not included (used for < or >), while a closed dot indicates that the number is included (used for ≤ or ≥).