Rozwiąż nierównośc:
a)
2/3(6x-3)≥0 /*3
2(6x -3)≥0
12x-6≥0
12x≥ 6
x≥ 6/12
x ≥ ½
x€ < ½, +∞)
b)
(4x-3)/3 – (x+1)/2 ≥ 1/6 /*6
2(4x-3) – 3(x+1) ≥1
8x -6 -3x -3 ≥ 1
5x ≥ 1 +9
5x≥ 10
x≥ 2
x€ < 2, +∞)
c)
-x-(x-3)/3 -3>0 /*3
-3x –x+3 -9 > 0
-4x > 6 /: (-4)
x < -6/4
x< -3/2
x< -1 ½
x€ (-∞, -1 ½ )
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a)
2/3(6x-3)≥0 /*3
2(6x -3)≥0
12x-6≥0
12x≥ 6
x≥ 6/12
x ≥ ½
x€ < ½, +∞)
b)
(4x-3)/3 – (x+1)/2 ≥ 1/6 /*6
2(4x-3) – 3(x+1) ≥1
8x -6 -3x -3 ≥ 1
5x ≥ 1 +9
5x≥ 10
x≥ 2
x€ < 2, +∞)
c)
-x-(x-3)/3 -3>0 /*3
-3x –x+3 -9 > 0
-4x > 6 /: (-4)
x < -6/4
x< -3/2
x< -1 ½
x€ (-∞, -1 ½ )