Inequality Words

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 person has no more than a certain amount of money?

Back

You use the '≤' symbol. For example, if someone has no more than $10, you can write it as x ≤ 10.

Front

How do you represent a situation where a person must have more than a certain amount of money?

Back

You use the '>' symbol. For example, if someone must have more than $36, you can write it as s > 36.

Front

What is the first step in solving an inequality?

Back

The first step is to isolate the variable on one side of the inequality.

Front

If you multiply or divide both sides of an inequality by a negative number, what happens to the inequality sign?

Back

The inequality sign flips. For example, if you have -2x > 6 and divide by -2, it becomes x < -3.

Front

How can you check if a solution to an inequality is correct?

Back

You can substitute the solution back into the original inequality to see if it makes the statement true.