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Voyoucloclo
@Voyoucloclo
May 2019
2
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Bonjour !
Consignes : Développer et répondre aux calculs suivants. ( * = Fois ) :
a ) 4x + 1 > 7x - 3
b ) 4 - 2x > 7 - x
c ) 15/2 * -1/2 < 3 x + 1
d ) 2x/3 + 1/6 < 5x/6 - 1/3
Merci d'avance !
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swnn
Verified answer
A) 4x+1 > 7x-3
4x-7x > -3-1
-3x > -4
x < -4/-3
x < 4/3
b) 4-2x > 7-x
-2x+x > 7-4
-x > 3
x < -3
c) 15/2 * -1/2 < 3x+1
-15/4 < 3x+1
-3x < 1 + 15/4
-3x < 19/4
x > 19/4*(-1/3)
x > -19/12
d) 2x/3 + 1/6 < 5x/6 - 1/3
4x/6 + 1/6 < 5x/6 - 2/6
4x/6 - 5x/6 < -2/6 - 1/6
-x/6 < -3/6
-x < -3
x > 3
2 votes
Thanks 0
loulakar
Verified answer
Bonjour,
a) 4x + 1 > 7x - 3
1 + 3 > 7x - 4x
4 > 3x
x < 4/3
x € ] -inf ; 4/3[
b) 4 - 2x > 7 - x
4 - 7 > 2x - x
x < (-3)
x € ]-inf ; -3[
c) 15/2 * (-1/2) < 3x + 1
(-15/4) - 1 < 3x
3x > -19/4
x > -19/12
x € ]-19/12 ; +inf[
d) 2x/3 + 1/6 < 5x/6 - 1/3
1/6 + 1/3 < 5x/6 - 2x/3
1/6 + 2/6 < 5x/6 - 4x/6
3/6 < x/6
x > 3
x € ]3;+inf[
1 votes
Thanks 0
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Lista de comentários
Verified answer
A) 4x+1 > 7x-34x-7x > -3-1
-3x > -4
x < -4/-3
x < 4/3
b) 4-2x > 7-x
-2x+x > 7-4
-x > 3
x < -3
c) 15/2 * -1/2 < 3x+1
-15/4 < 3x+1
-3x < 1 + 15/4
-3x < 19/4
x > 19/4*(-1/3)
x > -19/12
d) 2x/3 + 1/6 < 5x/6 - 1/3
4x/6 + 1/6 < 5x/6 - 2/6
4x/6 - 5x/6 < -2/6 - 1/6
-x/6 < -3/6
-x < -3
x > 3
Verified answer
Bonjour,a) 4x + 1 > 7x - 3
1 + 3 > 7x - 4x
4 > 3x
x < 4/3
x € ] -inf ; 4/3[
b) 4 - 2x > 7 - x
4 - 7 > 2x - x
x < (-3)
x € ]-inf ; -3[
c) 15/2 * (-1/2) < 3x + 1
(-15/4) - 1 < 3x
3x > -19/4
x > -19/12
x € ]-19/12 ; +inf[
d) 2x/3 + 1/6 < 5x/6 - 1/3
1/6 + 1/3 < 5x/6 - 2x/3
1/6 + 2/6 < 5x/6 - 4x/6
3/6 < x/6
x > 3
x € ]3;+inf[