Bonjour si quelqu’un pourrait m’aider pour les exercices 37 et 38 merci d’avance
Mathématiques
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Question
Bonjour si quelqu’un pourrait m’aider pour les exercices 37 et 38 merci d’avance
1 Réponse
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1. Réponse no63
salut
exo 37
a) 3x-8<=0 <=> 3x<=8 <=> x<=8/3 S=] - inf ; 8/3 ]
b) 6-8x-1>=0 <=> -8x>=-5 <=> x<=5/8 S=] - inf ; 5/8 ]
c) 6-7x-1-5x>=4-4x
=> 6-7x-1-5x-4+4x>=0
=> -8x+1>=0
=> x<= 1/8 S= ] - inf ; 1/8 ]
d) 2-7x+7-9x<-10x-8
=> 2-7x+7-9x+10x+8<0
=> -6x+17<0
=> -6x<-17 <=> x> 17/6 S= ] 17/6 ; + inf [
exo 38
a) 8-4x-9<=7-5x
=> 8-4x-9-7+5x<=0
=> x-8<=0 <=> x<=8 S=] - inf ; 8 ]
b) 3x+3>-2x
=> 3x+3+2x>0
=> 5x+3>0 <=> 5x>-3 <=> x> -3/5 S= ] -3/5 ; + inf [
c) 5x+1<= 8x+(x+7)/3
=> 5x+1-8x-(x+7)/3<=0
=> (15x+3-24x-x-7)/3<=0
=> (-10x-4)/3<=0
=> -10x-4<=0
=> x>=-2/5 S= [ -2/5 ; + inf [
d) (4/3)x-7-8x<5x-1
=> (4/3)x-7-8x-5x+1<0
=> (4x-21-24x-15x+3)/3<0
=>(-35x-18)/3<0
=> -35x<18
=> x> -18/35 S = ] -18/35 ; + inf [