Linear Inequalities- Word Problems

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What is a linear inequality?

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A linear inequality is a mathematical statement that compares a linear expression to a value using inequality symbols (>, <, ≥, ≤) instead of an equal sign.

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What does the symbol '>' mean in an inequality?

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The symbol '>' means 'greater than'. It indicates that the value on the left side of the inequality is larger than the value on the right side.

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What does the symbol '<' mean in an inequality?

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The symbol '<' means 'less than'. It indicates that the value on the left side of the inequality is smaller than the value on the right side.

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What does the symbol '≥' mean in an inequality?

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The symbol '≥' means 'greater than or equal to'. It indicates that the value on the left side is either larger than or equal to the value on the right side.

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What does the symbol '≤' mean in an inequality?

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The symbol '≤' means 'less than or equal to'. It indicates that the value on the left side is either smaller than or equal to the value on the right side.

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How do you represent a situation where a total cost must be less than a certain amount?

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What is the first step in solving a linear inequality?

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The first step is to isolate the variable on one side of the inequality, similar to solving a linear equation.

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What does a dashed line represent in a graph of a linear inequality?

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A dashed line indicates that points on the line are not included in the solution set, meaning the inequality is strict (using < or >).

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What does a solid line represent in a graph of a linear inequality?

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A solid line indicates that points on the line are included in the solution set, meaning the inequality is non-strict (using ≤ or ≥).

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