10/x-70

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Solution for 10/x-70 equation:


D( x )

x = 0

x = 0

x = 0

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

10/x-7 > 0

10*x^-1 > 7

10*x^-1 > 7 // : 10

x^-1 > 7/10

1/(x^1) > 7/10

x <> 0

1/(x^1) > 7/10 // * x^2

(x^2)/(x^1) > 7/10*x^2

x^1 > 7/10*x^2

x-7/10*x^2 > 0

x^1*(1-7/10*x) > 0

x < 0

-(abs(x))^1*(7/10*(abs(x))^1+1) > 0 // : -(abs(x))^1

7/10*(abs(x))^1+1 < 0

7/10*(abs(x))^1 < -1 // : 7/10

(abs(x))^1 < -1/7/10

(abs(x))^1 < -10/7 // ^ 1/1

abs(x) < (-10/7)^(1/1)

abs(x) < -10/7

x belongs to the empty set

x < 0

x > 0

x^1*(1-(7/10*x^1)) > 0 // : x^1

1-(7/10*x^1) > 0

1 > 7/10*x^1 // : 7/10

1/7/10 > x^1 // ^ 1/1

(1/7/10)^(1/1) > x

x in (0:10/7)

x > 0

x in (0:10/7)

x in (0:10/7)

(0:10/7)

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