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hylda
@hylda
June 2021
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SVP C'EST SUPER URGENT!
résous ces inéquations
a)
3/4x - 1/2 inférieur a 5 - x
b)
-1-1/3(2x+13) supérieur ou égale à 5/6 (x+1) - 1/6 (5x-2)
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nathalienouts
A)
3/4x - 1/2 inférieur a 5 - x
3x/4-1/2 < 5-x
x+3x/4 < 5+1/2
4x+3x < 20+2
7x < 22
x < 22/7
l'ensemble des solutions : ]-l'infini; 22/7[
b)
-1-1/3(2x+13) supérieur ou égale à 5/6 (x+1) - 1/6 (5x-2)
-1-(2x+13)/3
≥ 5(x+1)/6-(5x-2)/6
-6-2(2x+13) ≥ 5(x+1)-(5x-2)
-6-4x-26 ≥ 5x+5-5x+2
-32-4x ≥ 7
-4x ≥ 7+32
4x ≤ -39
x ≤ -39/4
ensemble des solutions: ]-l'infini; -39/4]
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3/4x - 1/2 inférieur a 5 - x
3x/4-1/2 < 5-x
x+3x/4 < 5+1/2
4x+3x < 20+2
7x < 22
x < 22/7
l'ensemble des solutions : ]-l'infini; 22/7[
b)
-1-1/3(2x+13) supérieur ou égale à 5/6 (x+1) - 1/6 (5x-2)
-1-(2x+13)/3 ≥ 5(x+1)/6-(5x-2)/6
-6-2(2x+13) ≥ 5(x+1)-(5x-2)
-6-4x-26 ≥ 5x+5-5x+2
-32-4x ≥ 7
-4x ≥ 7+32
4x ≤ -39
x ≤ -39/4
ensemble des solutions: ]-l'infini; -39/4]