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x in (-oo:+oo)
abs((4*x-5)/3) > 1 // - 1
abs((4*x-5)/3)-1 > 0
abs((4*x-5)/3)-1 > 0
x in (-oo:+oo)
abs((4*x-5)/3)
(4*x-5)/3 >= 0
( 3 )
3 >= 0
x należy do R
( 4*x-5 )
4*x-5 >= 0 // + 5
4*x >= 5 // : 4
x >= 5/4
(-oo:5/4) (5/4:+oo) 3 + + 4*x-5 - +
x in <5/4:+oo)
(4*x-5)/3-1 > 0
x in (-oo:5/4)
-((4*x-5)/3)-1 > 0
abs((4*x-5)/3)-1 > 0
/ | -((4*x-5)/3)-1 > 0 i x in (-oo:5/4) | (4*x-5)/3-1 > 0 i x in <5/4:+oo)
x in (-oo:5/4)
-((4*x-5)/3)-1 > 0
(-1*(4*x-5))/3-1 > 0
(-1*(4*x-5))/3+(-1*3)/3 > 0
-1*(4*x-5)-1*3 > 0
2-4*x > 0
(2-4*x)/3 > 0
(2-4*x)/3 > 0 // * 3^2
3*(2-4*x) > 0
( 2-4*x )
2-4*x > 0 // - 2
-4*x > -2 // : -4
x < -2/(-4)
x < 1/2
( 3 )
3 > 0
x należy do R
(-oo:1/2) (1/2:+oo) 2-4*x + - 3 + +
x in <5/4:+oo)
(4*x-5)/3-1 > 0
(4*x-5)/3+(-1*3)/3 > 0
4*x-1*3-5 > 0
4*x-8 > 0
(4*x-8)/3 > 0
(4*x-8)/3 > 0 // * 3^2
3*(4*x-8) > 0
( 3 )
3 > 0
x należy do R
( 4*x-8 )
4*x-8 > 0 // + 8
4*x > 8 // : 4
x > 8/4
x > 2
(-oo:2) (2:+oo) 3 + + 4*x-8 - +
x in (-oo:1/2) U (2:+oo)
(-oo:1/2) U (2:+oo)
| abs(4x-5/3)1 | | 9m-12=60 | | -12m-8=-5m-7m | | (a^2/-3b^3)^2 | | (x*5)=(3x-2) | | 8+4s=7s-2(14-3s) | | x^2=340 | | x^2-8x+y^2+2y=8 | | 3x-4=5x-1 | | 3x+7=1100 | | x-50=x+x+40 | | 3u+eu=ue | | 1/3(x-15)=10 | | 1/8(w-7=5 | | 6x^2-19x-30=0 | | 10-26=54 | | 10-26=26 | | U+u+u+eu=ue | | 3u^2=14u+5 | | 10h-26=26 | | -(3a+5)-2a+(4a-3)=0 | | -7y-3=4y^2 | | (8+x)(x)=180 | | 7+9x=9+7 | | 19+13r=32 | | R=5kp-3 | | 2u+(-1)=-13 | | 4x^3y-100xy= | | 3x-y-5=5x+3y-7 | | 7k^2+30k+27=0 | | 3x^2-6x-5x+10= | | 7000x+3500y+1000(1-x-y)=4000x+4000y+3000(1-x-y) |