identify properties of operations used to solve an equation.
The student will
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Subtraction property of equality: If 𝑎 = 𝑏, then 𝑎 − 𝑐 = 𝑏 − 𝑐.
Subtraction property of inequality: If 𝑎 < 𝑏, then 𝑎 − 𝑐 < 𝑏 − 𝑐; if 𝑎 > 𝑏, then 𝑎 − 𝑐 > 𝑏 − 𝑐.
Multiplication property of equality: If 𝑎 = 𝑏, then 𝑎 ∙ 𝑐 = 𝑏 ∙ 𝑐.
Division by zero is not a possible mathematical operation. It is undefined.
Inverse property of addition (additive inverse property): 𝑎 + (−𝑎) = 0 𝑎𝑛𝑑 (−𝑎) + 𝑎 = 0.