Odpowiedź:
d)
(3x + 1)/4 - (6 - 2x)/5 > - 1/20 - (x - 1)/2 | * 20
5(3x + 1) - 4(6 - 2x) > - 1 - 10(x - 1)
15x + 5 - 24 + 8x > - 1 - 10x + 10
23x - 19 > 9 - 10x
23x + 10x > 9 + 18
33x > 27
x > 27/33
x > 9/11
x ∈ ( 9/11 , + ∞ )
e)
- 1/6x - (2x - 5)/4 ≥ 3 - (8x - 3)/3 | * 12
- 2x - 3(2x - 5) ≥ 36 - 4(8x - 3)
- 2x - 6x + 15 ≥ 36 - 32x + 12
- 8x + 15 ≥ 48 - 32x
- 8x + 32x ≥ 48 - 15
24x ≥ 33
x ≥ 33/24
x ≥ 11/8
x ≥ 1 3/8
x ∈ < 1 3/8 , + ∞ )
f)
(x - 1)/3 - (2x - 1)/6 < 1/2 - (x - 3)/5 | * 30
10(x - 1) - 5(2x - 1) < 15 - 6(x - 3)
10x - 10 - 10x + 5 < 15 - 6x + 18
- 5 < 33 - 6x
6x < 33 + 5
6x < 38
x < 38/6
x < 6 2/6
x < 6 1/3
x ∈ (- ∞ , 6 1/3 )
