Solving & Graphing Inequalities

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What is an inequality?

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An inequality is a mathematical statement that compares two expressions, showing that one is greater than, less than, greater than or equal to, or less than or equal to the other.

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What does the symbol '≤' represent?

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The symbol '≤' means 'less than or equal to'.

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What does the symbol '≥' represent?

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The symbol '≥' means 'greater than or equal to'.

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What happens to the inequality sign when you multiply or divide by a negative number?

Back

You must flip the inequality sign when multiplying or dividing by a negative number.

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What is interval notation?

Back

Interval notation is a way of writing subsets of the real number line using intervals, such as (a, b) or [a, b].

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What is a compound inequality?

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A compound inequality consists of two or more inequalities that are combined using 'and' or 'or'.

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You would shade the region between -4 and 2 on a number line, including the endpoints.

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It means that x can be any number greater than or equal to -6, including -6 itself.