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laucan
@laucan
January 2021
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J'AI BESOIN D'AIDE ! S.V.P AIDEZ MOI
Exercice : INÉQUATIONS.
1°) (9x-1) (4-x) < 0
2°) (3x+2) (4x-8) ≥ 0
3°) (x²+1) (3-x) ≤ 0
4°) (3x+1) (5x-7) (6-x) > 0
merci d'avance
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loulakar
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Bonjour,
Exercice : INÉQUATIONS.
1°) (9x-1) (4-x) < 0
9x - 1 = 0
9x = 1
x = 1/9
4 - x = 0
x = 4
x............| -∞.....(1/9)...........4........+∞
9x-1......|.........(-).........||.......(+).........(+)............
4-x........|........(+)..................(+)...||......(-)............
Ineq......|........(-).........||.......(+)....||.....(-)............
Ineq < 0 pour :
x € ] -∞ ; 1/9 [ U ] 4 ; +∞ [
2°) (3x+2) (4x-8) ≥ 0
3x + 2 = 0
3x = -2
x = -2/3
4x - 8 = 0
4x = 8
x = 8/4 = 2
x............| -∞.....(-2/3)...........2........+∞
3x+2......|.........(-).........O.......(+).........(+)............
4x-8.......|........(-)..................(-)....O.....(+)............
Ineq......|........(+).........O......(-).....O.....(+)............
Ineq ≥ 0 pour :
x € ] -∞ ;
] U [ 2 ; +∞ [
Pour les deux suivantes à toi d’essayer :
3°) (x²+1) (3-x) ≤ 0
4°) (3x+1) (5x-7) (6-x) > 0
2 votes
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Bonjour,Exercice : INÉQUATIONS.
1°) (9x-1) (4-x) < 0
9x - 1 = 0
9x = 1
x = 1/9
4 - x = 0
x = 4
x............| -∞.....(1/9)...........4........+∞
9x-1......|.........(-).........||.......(+).........(+)............
4-x........|........(+)..................(+)...||......(-)............
Ineq......|........(-).........||.......(+)....||.....(-)............
Ineq < 0 pour :
x € ] -∞ ; 1/9 [ U ] 4 ; +∞ [
2°) (3x+2) (4x-8) ≥ 0
3x + 2 = 0
3x = -2
x = -2/3
4x - 8 = 0
4x = 8
x = 8/4 = 2
x............| -∞.....(-2/3)...........2........+∞
3x+2......|.........(-).........O.......(+).........(+)............
4x-8.......|........(-)..................(-)....O.....(+)............
Ineq......|........(+).........O......(-).....O.....(+)............
Ineq ≥ 0 pour :
x € ] -∞ ; ] U [ 2 ; +∞ [
Pour les deux suivantes à toi d’essayer :
3°) (x²+1) (3-x) ≤ 0
4°) (3x+1) (5x-7) (6-x) > 0