7-(2/x)(5/x)

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Solution for 7-(2/x)(5/x) equation:


D( x )

x = 0

x = 0

x = 0

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

7-(2/x) < 5/x // - 5/x

7-(2/x)-(5/x) < 0

7-2*x^-1-5*x^-1 < 0

-7*x^-1 < -7

-7*x^-1 < -7 // * -1

7*x^-1 > 7

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

x^-1 > 7/7

x^-1 > 1

1/(x^1) > 1

x <> 0

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

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

x^1 > 1*x^2

x-x^2 > 0

x^1*(1-x) > 0

x < 0

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

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

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

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

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

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

abs(x) < -1

x belongs to the empty set

x < 0

x > 0

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

1-(1*x^1) > 0

1 > 1*x^1 // : 1

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

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

x in (0:1)

x > 0

x in (0:1)

x in (0:1)

(0:1)

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