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Properties of Negation and Equality

Let a, b, and c be real numbers, variables, or algebraic expressions
a data set by xnity
created February 27, 2016
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PropertyExample
(-1)a = -a(-1)7 = -7
-(-a) = a-(-6) = 6
(-a)b = -(ab) = a(-b)(-5)3 = -(5 * 3) = 5(-3)
(-a)(-b) = ab(-2)(-x) = 2x
-(a + b) = (-a) + (-b)-(x + 8) = (-x) + (-8) = -x - 8
if a = b, then a + c = b + c1/2 + 3 = 0.5 + 3
if a = b, then ac = bc4^2(2) = 16(2)
if a +/- c = b +/- c, then a = b1.4 - 1 = 7/5 - 1 -> 1.4 = 7/5
if ac = bc and c /= 0, then a = b3x = 3 * 4 -> x = 4
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