Properties of Equality

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Properties of Equality
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Properties of Equality

• Reflexive aa

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Properties of Equality

• Reflexive aa
• Symmetric If ab, then ba

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Properties of Equality

• Reflexive aa
• Symmetric If ab, then ba
• Transitive If ab and bc, then ac

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Properties of Equality

• Reflexive aa
• Symmetric If ab, then ba
• Transitive If ab and bc, then ac
• Substitution If ab, a may replace b in
• any equation

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Identify the property

• If mn5, then n5 m

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Identify the property

• If 3 6/2 and 6/2 12/4, then 312/4

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Identify the property

• Y6Y6

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Identify the property

• If x7 and xyz,then 7yz

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Careful

• Transitive and substitution are very much the
  same.

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Properties of Inequality
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Properties of Inequality

• Trichotomy Property
• altb, ab or agtb

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Properties of Inequality

• Trichotomy Property
• altb, ab or agtb
• Transitive Property
• If altb and bltc, then altc.

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Equivalent Inequalities

• If altb, then bgta

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Equivalent Inequalities

• If altb, then bgta
• If a gt b, then b lt a

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Equivalent Inequalities

• If altb, then bgta
• If a gt b, then b lt a
• If altbltc, then cgtbgta

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Reversing the order of the variables

• .

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Reversing the order of the variables

• reverses the order of the signs.

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Write using symbols
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Write using symbols

• M is less than 5

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Write using symbols

• R is between 3 and 6

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Write using symbols

• C is between 5 and 9, inclusive

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Write using symbols

• Q is between 2 and 15, including 2, excluding 15

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Write using symbols

• D is no more than 17

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Write using symbols

• F is less than 24

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Graphing inequalities and

• writing in interval notation