abs(5x)/x

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Solution for abs(5x)/x equation: 


D( x )

x = 0

x = 0

x = 0

x in (-oo:0) U (0:+oo)

abs(5*x)/x = 0

abs(5*x)/x = 0

x in (-oo:+oo)

abs(5*x)

5*x >= 0

5*x+0 >= 0 // - 0

5*x >= 0 // : 5

x >= 0/5

x >= 0

x in <0:+oo)

(5*x)/x = 0

x in (-oo:0)

(-(5*x))/x = 0

abs(5*x)/x = 0

/| (-(5*x))/x = 0 i x in (-oo:0)| (5*x)/x = 0 i x in <0:+oo)

x in (-oo:0)

(-(5*x))/x = 0

-5 = 0

x belongs to the empty set

x in <0:+oo)

(5*x)/x = 0

5 = 0

x belongs to the empty set

x belongs to the empty set

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