Równanie : '
x-1 3x-1
2x- ----- < ----- + x
4 2
To zadanie z nierówności .
Z góry thx.
2x - (x-1)/4 < (3x-1)/2 + x /*4
8x - x + 1 < 6x - 2 + 4x
7x -6x - 4x < -2 -1
-3x < -3 /:(-3)
x > 1
x ∈(1 , +∞)
2x- x-1/4 < 3x-1/2+x /*8
16x-2(x-1)<4(3x-1)+8x
16x-2x-12x-8x<-4-2
-6x<-6 /:(-6)
x>1
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2x - (x-1)/4 < (3x-1)/2 + x /*4
8x - x + 1 < 6x - 2 + 4x
7x -6x - 4x < -2 -1
-3x < -3 /:(-3)
x > 1
x ∈(1 , +∞)
2x- x-1/4 < 3x-1/2+x /*8
16x-2(x-1)<4(3x-1)+8x
16x-2x-12x-8x<-4-2
-6x<-6 /:(-6)
x>1