0.16/x0.4

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Solution for 0.16/x0.4 equation:


D( x )

x = 0

x = 0

x = 0

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

0.16/x < 0.4 // - 0.4

0.16/x-0.4 < 0

0.16*x^-1 < 0.4

0.16*x^-1 < 0.4 // : 0.16

x^-1 < 0.4/0.16

x^-1 < 2.5

1/(x^1) < 2.5

x <> 0

1/(x^1) < 2.5 // * x^2

(x^2)/(x^1) < 2.5*x^2

x^1 < 2.5*x^2

x-2.5*x^2 < 0

x^1*(1-2.5*x) < 0

x < 0

-(abs(x))^1*(2.5*(abs(x))^1+1) < 0 // : -(abs(x))^1

2.5*(abs(x))^1+1 > 0

2.5*(abs(x))^1 > -1 // : 2.5

(abs(x))^1 > -1/2.5

(abs(x))^1 > -0.4 // ^ 1/1

abs(x) > (-0.4)^(1/1)

abs(x) > -0.4

x in (-oo:0)

x < 0

x > 0

x^1*(1-(2.5*x^1)) < 0 // : x^1

1-(2.5*x^1) < 0

1 < 2.5*x^1 // : 2.5

1/2.5 < x^1 // ^ 1/1

(1/2.5)^(1/1) < x

x in (0.4:+oo)

x > 0

x in (-oo:0) U (0.4:+oo)

x in (-oo:0) U (0.4:+oo)

(-oo:0) U (0.4:+oo)

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