8/x-3-2

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Solution for 8/x-3-2 equation:


D( x )

x = 0

x = 0

x = 0

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

8/x-3 < -2 // + 2

8/x-3+2 < 0

8*x^-1 < 1

8*x^-1 < 1 // : 8

x^-1 < 1/8

1/(x^1) < 1/8

x <> 0

1/(x^1) < 1/8 // * x^2

(x^2)/(x^1) < 1/8*x^2

x^1 < 1/8*x^2

x-1/8*x^2 < 0

x^1*(1-1/8*x) < 0

x < 0

-(abs(x))^1*(1/8*(abs(x))^1+1) < 0 // : -(abs(x))^1

1/8*(abs(x))^1+1 > 0

1/8*(abs(x))^1 > -1 // : 1/8

(abs(x))^1 > -1/1/8

(abs(x))^1 > -8 // ^ 1/1

abs(x) > (-8)^(1/1)

abs(x) > -8

x in (-oo:0)

x < 0

x > 0

x^1*(1-(1/8*x^1)) < 0 // : x^1

1-(1/8*x^1) < 0

1 < 1/8*x^1 // : 1/8

1/1/8 < x^1 // ^ 1/1

(1/1/8)^(1/1) < x

x in (8:+oo)

x > 0

x in (-oo:0) U (8:+oo)

x in (-oo:0) U (8:+oo)

(-oo:0) U (8:+oo)

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