2/x7

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Solution for 2/x7 equation:


D( x )

x = 0

x = 0

x = 0

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

2/x < 7 // - 7

2/x-7 < 0

2*x^-1 < 7

2*x^-1 < 7 // : 2

x^-1 < 7/2

1/(x^1) < 7/2

x <> 0

1/(x^1) < 7/2 // * x^2

(x^2)/(x^1) < 7/2*x^2

x^1 < 7/2*x^2

x-7/2*x^2 < 0

x^1*(1-7/2*x) < 0

x < 0

-(abs(x))^1*(7/2*(abs(x))^1+1) < 0 // : -(abs(x))^1

7/2*(abs(x))^1+1 > 0

7/2*(abs(x))^1 > -1 // : 7/2

(abs(x))^1 > -1/7/2

(abs(x))^1 > -2/7 // ^ 1/1

abs(x) > (-2/7)^(1/1)

abs(x) > -2/7

x in (-oo:0)

x < 0

x > 0

x^1*(1-(7/2*x^1)) < 0 // : x^1

1-(7/2*x^1) < 0

1 < 7/2*x^1 // : 7/2

1/7/2 < x^1 // ^ 1/1

(1/7/2)^(1/1) < x

x in (2/7:+oo)

x > 0

x in (-oo:0) U (2/7:+oo)

x in (-oo:0) U (2/7:+oo)

(-oo:0) U (2/7:+oo)

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