(6x-3)/(7)-(3x-8)/(9)-3

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Solution for (6x-3)/(7)-(3x-8)/(9)-3 equation:


x in (-oo:+oo)

(6*x-3)/7-((3*x-8)/9) < -3 // + 3

(6*x-3)/7-((3*x-8)/9)+3 < 0

(6*x-3)/7+(-1*(3*x-8))/9+3 < 0

(9*(6*x-3))/(7*9)+(-1*7*(3*x-8))/(7*9)+(3*7*9)/(7*9) < 0

9*(6*x-3)-1*7*(3*x-8)+3*7*9 < 0

33*x+29+189 < 0

33*x+218 < 0

(33*x+218)/(7*9) < 0

(33*x+218)/(7*9) < 0 // * (7*9)^2

7*9*(33*x+218) < 0

( 33*x+218 )

33*x+218 < 0 // - 218

33*x < -218 // : 33

x < -218/33

( 7 )

7 < 0

x belongs to the empty set

( 9 )

9 < 0

x belongs to the empty set

(-oo:-218/33) (-218/33:+oo) 33*x+218 - + 7 + + 9 + +

x in (-oo:-218/33)

(-oo:-218/33)

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