bonjour
( x + 3 ) / 2 + ( 3 x - 2 )/6 ≥ ( 6 x - 2 ) / 3
( 3 x + 9 ) / 6 + ( 3 x - 2 ) / 6 ≥ ( 12 x - 4 ) / 6
3 x + 9 + 3 x - 2 ≥ 12 x - 4
6 x - 12 x ≥ - 4 - 9 + 2
- 6 x ≥ - 11
x ≤ 11/6
S ] - ∞ : 11/6 ]
2 ( x - 1 ) + 3 ( x + 2 ) < ( x - 2 ) - x + 12
x - 1 + 3 x + 6 < x - 2 - x + 12
4 x - x + x < - 2 + 12 + 1 - 6
4 x < 5
x < 5/4
S ] - ∞ ; 5/4 [
( x + 8 ) /2 - ( 5 x - 2 ) / 6 ≥ - ( 7 x - 4 ) / 5
( 15 x + 120 ) / 30 - ( 25 x - 10 ) / 30 ≥ - ( 42 x - 24) / 30
15 x + 120 - 25 x + 10 ≥ - 42 x + 24
15 x - 25 x + 42 x ≥ 24 - 120 - 10
32 x ≥ - 106
x ≥ - 106/32
x ≥ - 53 / 16
S [ - 53/16 : + ∞ [
