Bonjour

résoudre dans R les inéquations suivantes.

1

------->0

4x+1

4x + 1 # 0

4x # -1

x # -1/4

x..............|-inf..........-1/4..........+inf

4x + 1......|........(-)......o....(+)...........

Ineq........|........(-)......||.....(+)............

-2x

------- < 0

x+8

-2x = 0 et x + 8 # 0

x = 0 et x # -8

x..........|-inf........-8.......0.........+inf

-2x......|.......(+)........(+)..o....(-).......

x + 8...|.......(-)....o...(+)........(+)......

Ineq....|.......(-)....||....(+).o....(-).......

4x+4

-------- > 0

-5x-10

4x + 4 = 0 et -5x - 10 # 0

4x = -4 et 5x # -10

x = -4/4 et x # -10/5

x = -1 et x # -2

x..............|-inf........-2.......-1.........+inf

4x + 4.....|.......(-)........(-)...o....(+).......

-5x - 10...|.......(-)....o...(+)........(+)......

Ineq........|.......(+)....||...(-)..o....(+).......

3x+7

-------<0

5x+8​

3x + 7 = 0 et 5x + 8 # 0

3x = -7 et 5x # -8

x = -7/3 et x # -8/5

x...............|-inf........-7/3.......-8/5.........+inf

3x + 7......|.......(-)......o...(+)...........(+)...........

5x + 8.....|.......(-)............(-)......o....(+)..........

Ineq........|.......(+)......o....(-).....||....(+).............