1/2-10/m-1/5

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Solution for 1/2-10/m-1/5 equation:


D( m )

m = 0

m = 0

m = 0

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

1/2-(10/m) > -1/5 // + -1/5

1/2-(10/m)-(-1/5) > 0

1/2-10*m^-1+1/5 > 0

-10*m^-1 > -7/10

-10*m^-1 > -7/10 // * -1

10*m^-1 < 7/10

10*m^-1 < 7/10 // : 10

m^-1 < 7/10/10

m^-1 < 7/100

1/(m^1) < 7/100

m <> 0

1/(m^1) < 7/100 // * m^2

(m^2)/(m^1) < 7/100*m^2

m^1 < 7/100*m^2

m-7/100*m^2 < 0

m^1*(1-7/100*m) < 0

m < 0

-(abs(m))^1*(7/100*(abs(m))^1+1) < 0 // : -(abs(m))^1

7/100*(abs(m))^1+1 > 0

7/100*(abs(m))^1 > -1 // : 7/100

(abs(m))^1 > -1/7/100

(abs(m))^1 > -100/7 // ^ 1/1

abs(m) > (-100/7)^(1/1)

abs(m) > -100/7

m in (-oo:0)

m < 0

m > 0

m^1*(1-(7/100*m^1)) < 0 // : m^1

1-(7/100*m^1) < 0

1 < 7/100*m^1 // : 7/100

1/7/100 < m^1 // ^ 1/1

(1/7/100)^(1/1) < m

m in (100/7:+oo)

m > 0

m in (-oo:0) U (100/7:+oo)

m in (-oo:0) U (100/7:+oo)

(-oo:0) U (100/7:+oo)

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