Properties of Inequalities

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What is the Additive Inverse Property?

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The Additive Inverse Property states that for any number a, there exists a number -a such that a + (-a) = 0.

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What is the Multiplicative Identity Property?

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The Multiplicative Identity Property states that for any number a, a × 1 = a.

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What is the Commutative Property of Addition?

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The Commutative Property of Addition states that changing the order of the addends does not change the sum. For example, a + b = b + a.

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What is the Associative Property of Addition?

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The Associative Property of Addition states that the way in which numbers are grouped does not change their sum. For example, (a + b) + c = a + (b + c).

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What is the Substitution Property?

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The Substitution Property states that if two values are equal, one can be substituted for the other in any expression.

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What is the Reflexive Property of Equality?

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The Reflexive Property of Equality states that any number is equal to itself, i.e., a = a.

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What is the Addition Property of Equality?

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The Addition Property of Equality states that if a = b, then a + c = b + c for any number c.

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What is the Subtraction Property of Equality?

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The Subtraction Property of Equality states that if a = b, then a - c = b - c for any number c.

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What is the Multiplication Property of Equality?

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The Multiplication Property of Equality states that if a = b, then a × c = b × c for any number c.

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What is the Division Property of Equality?

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The Division Property of Equality states that if a = b and c ≠ 0, then a ÷ c = b ÷ c.