3/4x-5/8(1-x)1/2(3x-0.5)

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Solution for 3/4x-5/8(1-x)1/2(3x-0.5) equation: 


x in (-oo:+oo)

(3/4)*x-((5/8)*(1-x)) < (1/2)*(3*x-0.5) // - (1/2)*(3*x-0.5)

(3/4)*x-((5/8)*(1-x))-((1/2)*(3*x-0.5)) < 0

(-5/8)*(1-x)+(-1/2)*(3*x-0.5)+(3/4)*x < 0

(3*x)/4-5/8*(1-x)-1/2*(3*x-0.5) < 0

(-5/8*4*(1-x))/4+(-1/2*4*(3*x-0.5))/4+(3*x)/4 < 0

3*x-5/8*4*(1-x)-1/2*4*(3*x-0.5) < 0

3*x-7/2*x-3/2 < 0

-1/2*x-3/2 < 0

(-1/2*x-3/2)/4 < 0

(-1/2*x-3/2)/4 < 0 // * 4^2

4*(-1/2*x-3/2) < 0

( -1/2*x-3/2 )

-1/2*x-3/2 < 0 // + 3/2

-1/2*x < 3/2 // : -1/2

x > 3/2/(-1/2)

x > -3

( 4 )

4 < 0

x belongs to the empty set

	(-oo:-3)	(-3:+oo)
-1/2*x-3/2	+	-
4	+	+


x in (-3:+oo)

(-3:+oo)

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