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x in (-oo:+oo)
(2*x-1)/3 < (x-2)/5-1 // - (x-2)/5-1
(2*x-1)/3-((x-2)/5)+1 < 0
(2*x-1)/3+(-1*(x-2))/5+1 < 0
(5*(2*x-1))/(3*5)+(-1*3*(x-2))/(3*5)+(1*3*5)/(3*5) < 0
5*(2*x-1)-1*3*(x-2)+1*3*5 < 0
7*x+1+15 < 0
7*x+16 < 0
(7*x+16)/(3*5) < 0
(7*x+16)/(3*5) < 0 // * (3*5)^2
3*5*(7*x+16) < 0
( 3 )
3 < 0
x belongs to the empty set
( 5 )
5 < 0
x belongs to the empty set
( 7*x+16 )
7*x+16 < 0 // - 16
7*x < -16 // : 7
x < -16/7
(-oo:-16/7) (-16/7:+oo) 3 + + 5 + + 7*x+16 - +
x in (-oo:-16/7)
(-oo:-16/7)
| -86-45= | | 8(4s+1)=40 | | 4-2(m-6)=8 | | X+90+50=180 | | 6(2L+7)=174 | | -1.2x=-96 | | 7d-12=-75 | | x/12=12/5 | | 5x+20=-8+-2x+3 | | 2x+6=-36+-5x | | (-2x-5)=(-4x+2) | | h/y=8 | | 2x+6=-36+-5 | | -5.2=0.4p | | 10=10y+20x | | 6p+2-2=4p+12 | | 5x^4+23x-84=0 | | h-66+7h=42 | | y+13x=11.3 | | (9y+7)+(-4y-3)+(2y+7)= | | (3/7)y=(9/14) | | 5x^2-7x+13= | | 9t+3p-5t+3= | | -9(x+2)=0 | | 2f-8=-20 | | 3(3x+2)=26 | | 7x+16y=9600 | | 8.5a+1.30+4+9=8.5a | | (50+-2y)+y=31 | | 0.3n=9 | | 10s-70=-109 | | 8.5x+1.30+4+9=8.5x |