(7/x)4

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Solution for (7/x)4 equation:


D( x )

x = 0

x = 0

x = 0

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

7/x > 4 // - 4

7/x-4 > 0

7*x^-1 > 4

7*x^-1 > 4 // : 7

x^-1 > 4/7

1/(x^1) > 4/7

x <> 0

1/(x^1) > 4/7 // * x^2

(x^2)/(x^1) > 4/7*x^2

x^1 > 4/7*x^2

x-4/7*x^2 > 0

x^1*(1-4/7*x) > 0

x < 0

-(abs(x))^1*(4/7*(abs(x))^1+1) > 0 // : -(abs(x))^1

4/7*(abs(x))^1+1 < 0

4/7*(abs(x))^1 < -1 // : 4/7

(abs(x))^1 < -1/4/7

(abs(x))^1 < -7/4 // ^ 1/1

abs(x) < (-7/4)^(1/1)

abs(x) < -7/4

x belongs to the empty set

x < 0

x > 0

x^1*(1-(4/7*x^1)) > 0 // : x^1

1-(4/7*x^1) > 0

1 > 4/7*x^1 // : 4/7

1/4/7 > x^1 // ^ 1/1

(1/4/7)^(1/1) > x

x in (0:7/4)

x > 0

x in (0:7/4)

x in (0:7/4)

(0:7/4)

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