Bonjour
résoudre les inéquations suivantes:
1) 2x-5/x+2 ≤ 0
2x - 5 = 0
2x = 5
x = 5/2
x + 2 # 0
x # -2
x.............|-inf.......-2........5/2.........+inf
2x - 5....|.....(-).........(-).....o....(+)..........
x + 2......|.....(-).....o...(+).........(+)..........
Ineq.......|.....(+)....||....(-)....o....(+).........
2) 3x+1/x-1 < 2
x - 1 # 0
x # 1
3x + 1 < 2(x - 1)
3x + 1 < 2x - 2
3x - 2x < -2 - 1
x < -3
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Bonjour
résoudre les inéquations suivantes:
1) 2x-5/x+2 ≤ 0
2x - 5 = 0
2x = 5
x = 5/2
x + 2 # 0
x # -2
x.............|-inf.......-2........5/2.........+inf
2x - 5....|.....(-).........(-).....o....(+)..........
x + 2......|.....(-).....o...(+).........(+)..........
Ineq.......|.....(+)....||....(-)....o....(+).........
2) 3x+1/x-1 < 2
x - 1 # 0
x # 1
3x + 1 < 2(x - 1)
3x + 1 < 2x - 2
3x - 2x < -2 - 1
x < -3