Solving Inequalities

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What is an inequality?

Back

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

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What does the symbol '>' represent in inequalities?

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The symbol '>' means 'greater than'. For example, x > 3 means x is any number greater than 3.

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What does the symbol '<' represent in inequalities?

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The symbol '<' means 'less than'. For example, x < 5 means x is any number less than 5.

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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 is any number greater than or equal to 2.

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What does the symbol '≤' represent in inequalities?

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

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How do you graph the inequality x > 3?

Back

To graph x > 3, draw a number line, place an open dot at 3, and shade to the right.

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How do you graph the inequality x ≤ -2?

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To graph x ≤ -2, draw a number line, place a closed dot at -2, and shade to the left.

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Front

What does a closed dot on a number line indicate?

Back

A closed dot indicates that the number is included in the solution (used for ≤ or ≥).