(3-x)/4-(5x-1)/6-x

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Solution for (3-x)/4-(5x-1)/6-x equation:


x in (-oo:+oo)

(3-x)/4-((5*x-1)/6) < -x // + x

(3-x)/4-((5*x-1)/6)+x < 0

(3-x)/4+(-1*(5*x-1))/6+x < 0

(6*(3-x))/(4*6)+(-1*4*(5*x-1))/(4*6)+(4*6*x)/(4*6) < 0

6*(3-x)-1*4*(5*x-1)+4*6*x < 0

24*x-26*x+22 < 0

22-2*x < 0

(22-2*x)/(4*6) < 0

(22-2*x)/(4*6) < 0 // * (4*6)^2

4*6*(22-2*x) < 0

( 22-2*x )

22-2*x < 0 // - 22

-2*x < -22 // : -2

x > -22/(-2)

x > 11

( 4 )

4 < 0

x belongs to the empty set

( 6 )

6 < 0

x belongs to the empty set

(-oo:11) (11:+oo) 22-2*x + - 4 + + 6 + +

x in (11:+oo)

(11:+oo)

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