Writing Inequalities- Algebra

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What is an inequality in algebra?

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

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How do you represent a budget constraint using an inequality?

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A budget constraint can be represented by an inequality that shows the total cost of items must be less than or equal to the budget amount.

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

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

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

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

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How can you express a spending limit using an inequality?

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A spending limit can be expressed as an inequality where the total spending must be less than or equal to the limit.

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What is the general form of a linear inequality?

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The general form of a linear inequality is ax + b < c, ax + b > c, ax + b ≤ c, or ax + b ≥ c, where a, b, and c are constants.

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How do you solve an inequality?

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To solve an inequality, isolate the variable on one side of the inequality sign using inverse operations, similar to solving an equation.

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What is the significance of the constant term in an inequality?

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The constant term in an inequality represents a fixed value that can affect the solution set and the range of possible values for the variable.

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How do you interpret the solution of an inequality graphically?

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The solution of an inequality can be represented on a number line, where the shaded region indicates all possible values that satisfy the inequality.

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What is a real-world example of using inequalities?

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A real-world example of using inequalities is budgeting for an event, where the total expenses must not exceed a certain amount.