a) ⅔ (x-2) -1≤ x+1 2/3x-4/3-1-x-1≤0 -1/3x-10/3≤0 -1/3x≤10/3 x≥-10 b) 3(x+2) -5≥4x-1 3x+6-5-4x+1≥0 -x≥-2 x≤2 c)2x- (1-x) < 2 (x+3)+x-1 2x-1+x<2x+6+x-1 3x-1<3x+5 3x-3x<5+1 zero d) (2x-3)(x+2)+1≤2[(x+3)(x-2)-1] (2x²+4x-3x-6)+1≤2*[x²-2x+3x-6-1] 2x²+x-5≤2x²+2x-14 2x²+x-5-2x²-2x+14≤0 -x≤-9 x≥9 e) 2(x+6)(x-2)>3(x-1)+1+2x(x-1,5) 2(x²-2x+6x-12)>3x-3+1+2x²-3 2x²+8x-24>3x+2x²-5 2x²+8x-24-3x-2x²+5>0 5x>19 x>19/5
A. ⅔ (x-2) -1≤ x+1 2/3x - 4/3x - 1 _< x+1 |*3 3*2/3x - 3*4/3 - 3 _< 3x + 3 2x - 4 - 3 _< 3x + 3 2x - 3x _< 3 + 3 + 4 -1x _< 10 | : (-1) x >_ -10 B. 3(x+2) -5≥4x-1 3x + 6 -5 >_ 4x - 1 3x - 4x >_ -1 +5 - 6 -1x >_ -2|: (-1) x _< 2 C.2x- (1-x) < 2 (x+3)+x-1 2x - 1 + x < 2x + 6 + x - 1 2x + x - 2x - x < -1+6+1 0x < 6 |: 0 x < 0 D. (2x-3)(x+2)+1≤2[(x+3)(x-2)-1] 2x do potęgi drugiej + 4x - 3x - 6 + 1 _< 2( x do potegi drugiej - 2x + 3x -6 - 1 2x^ + 4x - 3x - 6 + 1 _< 2x^ - 4x + 6x -12 -2 2x^ + 4x - 3x - 2x^ + 4x - 6x _< -2-12-1+6 -3x _< -9 |: (-3) x >_ 3
