Inequalities REVIEW

Front

What is an inequality?

Back

An inequality is a mathematical statement that compares two expressions using symbols such as <, >, ≤, or ≥, indicating that one expression is less than, greater than, or equal to another.

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What does the symbol < represent in inequalities?

Back

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

Front

What does the symbol > represent in inequalities?

Back

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

Front

What does the symbol ≤ represent in inequalities?

Back

The symbol ≤ means 'less than or equal to'. For example, x ≤ 4 means x can be any number less than or equal to 4.

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What does the symbol ≥ represent in inequalities?

Back

The symbol ≥ means 'greater than or equal to'. For example, x ≥ 2 means x can be any number greater than or equal to 2.

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How do you graph the inequality k < 3?

Back

To graph k < 3, draw a number line, place an open dot at 3, and shade to the left to indicate all numbers less than 3.

Front

When do you use an open dot on a graph of an inequality?

Back

An open dot is used when the inequality symbol is < or >, indicating that the endpoint is not included in the solution.

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When do you use a closed dot on a graph of an inequality?

Back

A closed dot is used when the inequality symbol is ≤ or ≥, indicating that the endpoint is included in the solution.

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Back

Front

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The solution is n > -2.5.