Algebra Writing and 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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No Solution, because the inequality simplifies to 1 < -1, which is false.

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Write an inequality to represent when Sue's lunch account is more than Troy's.

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All Real Numbers, because the inequality simplifies to 15 \le 15, which is always true.

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What is the solution to the inequality 5(v + 3) - 10v > -10?

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Front

What is the difference between strict and non-strict inequalities?

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Strict inequalities (<, >) do not include the boundary, while non-strict inequalities (≤, ≥) do include the boundary.

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What does it mean if an inequality has no solution?

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It means that there are no values that satisfy the inequality, often resulting in a false statement.

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How can you check if a value is a solution to an inequality?

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Substitute the value into the inequality and see if the statement is true.

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What is the graphical representation of an inequality?

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An inequality can be represented on a number line with an open circle for strict inequalities and a closed circle for non-strict inequalities.