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 using symbols such as <, >, ≤, or ≥.

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What does the symbol '≥' mean?

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

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What does the symbol '≤' mean?

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

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First, solve for x: @@-3x ext{ ≥ } 3 ightarrow x ext{ ≤ } -1@@.

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A closed dot is used because the inequality includes '≤'.

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What does an open dot represent in graphing inequalities?

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An open dot represents that the value is not included in the solution, used for < or >.

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First, solve for x: @@-2x < 4 ightarrow x > -2@@. Graph with an open dot at -2.

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What is the difference between 'greater than' and 'greater than or equal to'?

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'Greater than' (>) does not include the endpoint, while 'greater than or equal to' (≥) does.