ashleymarie181818 ashleymarie181818
  • 23-02-2024
  • Mathematics
contestada

Which expression is equivalent to 4(x-2)<7x+1

Respuesta :

dumuralexandre dumuralexandre
  • 23-02-2024

Answer: Donc, l'expression équivaut à x > -3.

Step-by-step explanation:Pour résoudre cette inéquation, commençons par la développer :

4(x - 2) < 7x + 1

4x - 8 < 7x + 1

Ensuite, regroupons les termes qui contiennent x du même côté de l'inéquation :

4x - 7x < 1 + 8

-3x < 9

Maintenant, divisons chaque côté par -3. Lorsque l'on divise par un nombre négatif, n'oublions pas que le sens de l'inégalité est inversé :

x > 9 / -3

x > -3

Donc, l'expression équivaut à x > -3.

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