Question

1. 2(x+2)/3-2-3x/9 >x-1

2. 1/3(x-1/2)-5x-1/2<x-2/3(x+1)

Answer 1

1. 2[x+2]/3-2-3x/9>x-1
2x+4/3-2-3x/9>x-1/*9
3[2x+4]-18-3x>9x-9
6x+12-18-3x>9x-9
6x-9x-3x>-12+18-9
-6x>-3//-6
x<0,5

2. 1/3[x-1/2]-5x-1/2<x-2/3[x+1]/*6
2[x-1/2]-30x-3<6x-4[x+1]
2x-1-30x-3<6x-4x+4
2x-30x-6x+4x<1+3+4
-30x<8//-30
x>-4/15

prosze ;p

Answer 2

1.
2(x+2)/3-2-3x/9 >x-1
2x+4/3 -2-3x/9>x-1 (obie strony mnożymy przez 9)
3(2x+4)-2-3x> 9x-9
6x+12-2-3x>9x-9
6x-3x-9x > -9-12+2
-6x > -19
x< 19/6
x < 3 i 1/6


2.
1/3(x-1/2)-5x-1/2<x-2/3(x+1)
1/3x -1/6 - 5x-1/2 < x-2/3x -2/3 ( obie strony mnożymy przez 6)
2x-1-30x-3 < 6x-4x-4
2x-30x-6x+4x < -4 +1+3
- 30 x < 0

x > - 0/30