(4x-9)/6-11/4

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Solution for (4x-9)/6-11/4 equation:


x in (-oo:+oo)

(4*x-9)/6 < -11/4 // + -11/4

(4*x-9)/6-(-11/4) < 0

(4*x-9)/6+11/4 < 0

(4*(4*x-9))/(4*6)+(6*11)/(4*6) < 0

4*(4*x-9)+6*11 < 0

16*x+30 < 0

(16*x+30)/(4*6) < 0

(16*x+30)/(4*6) < 0 // * (4*6)^2

4*6*(16*x+30) < 0

( 16*x+30 )

16*x+30 < 0 // - 30

16*x < -30 // : 16

x < -30/16

x < -15/8

( 4 )

4 < 0

x belongs to the empty set

( 6 )

6 < 0

x belongs to the empty set

(-oo:-15/8) (-15/8:+oo) 16*x+30 - + 4 + + 6 + +

x in (-oo:-15/8)

(-oo:-15/8)

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