Bonsoir,
a) x + 5 < 15
x < 15 - 5
x < 10
]_______x_______[_____________
-inf.............................10
b) 3x + 8 > 17
3x > 17 - 8
3x > 9
x > 9/3
x > 3
____________]______x__________[
.............................3.......................................+inf
c) -2x + 4 << 6x + 20 (<< : inférieur ou égal)
6x + 2x >> 4 - 20
8x >> -16
x >> -16/8
x >> -2
____________[________x_________[
............................(-2).......................................+inf
d) 2 + 7x >> 2x - 8 (>> : supérieur ou égal)
7x - 2x >> -8 - 2
5x >> 6
x >> 6/5
____________[________x________[
............................6/5...................................+inf
e) 8x - 32 < 14 + 8x
8x - 8x < 14 + 32
0 < 46
]________________x______________[
-inf..................................................................+inf
f) -7(x + 1) >> 2(x - 4)
-7x - 7 >> 2x - 8
7x + 2x << 8 - 7
9x << 1
x << 1/9
]_______x__________]______________
-inf......................................1/9
