(4/x)-(3)(2/x)-7

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Solution for (4/x)-(3)(2/x)-7 equation: 


D( x )

x = 0

x = 0

x = 0

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

4/x-3 > 2/x-7 // - 2/x-7

4/x-(2/x)-3+7 > 0

4/x-2*x^-1-3+7 > 0

2*x^-1 > -4

2*x^-1 > -4 // : 2

x^-1 > -4/2

x^-1 > -2

1/(x^1) > -2

x <> 0

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

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

x^1 > -2*x^2

2*x^2+x > 0

x^1*(2*x+1) > 0

x < 0

-(abs(x))^1*(1-2*(abs(x))^1) > 0 // : -(abs(x))^1

1-2*(abs(x))^1 < 0

-2*(abs(x))^1 < -1 // : -2

(abs(x))^1 > -1/(-2)

(abs(x))^1 > 1/2 // ^ 1/1

abs(x) > (1/2)^(1/1)

abs(x) > 1/2

x in (-oo:-1/2)

x < 0

x > 0

x^1*(1-(-2*x^1)) > 0 // : x^1

1-(-2*x^1) > 0

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

1/(-2) < x^1 // ^ 1/1

(1/(-2))^(1/1) < x

x in (0:+oo)

x > 0

x in (-oo:-1/2) U (0:+oo)

x in (-oo:-1/2) U (0:+oo)

(-oo:-1/2) U (0:+oo)

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