300/x-20

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Solution for 300/x-20 equation:


D( x )

x = 0

x = 0

x = 0

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

300/x-2 > 0

300*x^-1 > 2

300*x^-1 > 2 // : 300

x^-1 > 2/300

x^-1 > 1/150

1/(x^1) > 1/150

x <> 0

1/(x^1) > 1/150 // * x^2

(x^2)/(x^1) > 1/150*x^2

x^1 > 1/150*x^2

x-1/150*x^2 > 0

x^1*(1-1/150*x) > 0

x < 0

-(abs(x))^1*(1/150*(abs(x))^1+1) > 0 // : -(abs(x))^1

1/150*(abs(x))^1+1 < 0

1/150*(abs(x))^1 < -1 // : 1/150

(abs(x))^1 < -1/1/150

(abs(x))^1 < -150 // ^ 1/1

abs(x) < (-150)^(1/1)

abs(x) < -150

x belongs to the empty set

x < 0

x > 0

x^1*(1-(1/150*x^1)) > 0 // : x^1

1-(1/150*x^1) > 0

1 > 1/150*x^1 // : 1/150

1/1/150 > x^1 // ^ 1/1

(1/1/150)^(1/1) > x

x in (0:150)

x > 0

x in (0:150)

x in (0:150)

(0:150)

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