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x in (-oo:+oo)
(-2/3)*(x-3)-(1/2) < (1/2)*(5-x) // - (1/2)*(5-x)
(-2/3)*(x-3)-((1/2)*(5-x))-(1/2) < 0
(-2/3)*(x-3)+(-1/2)*(5-x)-1/2 < 0
-2/3*(x-3)-1/2*(5-x)-1/2 < 0
(-2/3*2*(x-3))/2+(-1/2*2*(5-x))/2-1/2 < 0
-2/3*2*(x-3)-1/2*2*(5-x)-1 < 0
-1/3*x-1-1 < 0
-1/3*x-2 < 0
(-1/3*x-2)/2 < 0
(-1/3*x-2)/2 < 0 // * 2^2
2*(-1/3*x-2) < 0
( -1/3*x-2 )
-1/3*x-2 < 0 // + 2
-1/3*x < 2 // : -1/3
x > 2/(-1/3)
x > -6
( 2 )
2 < 0
x belongs to the empty set
(-oo:-6) (-6:+oo) -1/3*x-2 + - 2 + +
x in (-6:+oo)
(-6:+oo)
| -3.5=-1y | | r/4.3=10.5 | | 3/8x-4=8 | | 3x+14=-16-2x | | 100=7+15g | | 125x=1000 | | 3+9x=3+x | | 5x^2+22x=48 | | 4x+4(x-4)=24 | | 180-x=4(90-x)+30 | | 5x^2+22x+48=0 | | 5x(7-2)+1= | | y=6-11 | | 15c+30=.33(102-12c) | | 20+6x=9x | | 6(x+2y-2y)= | | 4x+12+8-10=30 | | 7x+37=4x+51 | | 9x+14=11x-6 | | p-3-(3/5p)=(2p-3)/(5p) | | 6/x=x | | 5y=3(-2)+6 | | 2+1.5x=y | | w/15-26=42 | | 2x+12=1000 | | 8z+18=2(2z-9) | | -8x-9+7x=-2 | | -4(3n+5)=12n | | 9-c+9= | | -4(1-6x)-24x=-22 | | y=8(.2)+12 | | 104a+224b= |