2474242 2474242
  • 24-10-2020
  • Mathematics
contestada

Which inequality represents all the solutions of 10(3x+2)>7(2x-4)?

A. x>-4

B. x -3
D.x<-3

Respuesta :

ii66itt6 ii66itt6
  • 24-10-2020

Answer:

the answer would be x>-3

Step-by-step explanation:

Answer Link
hnori22003
hnori22003 hnori22003
  • 24-10-2020

[tex]10(3x + 2) > 7(2x - 4)[/tex]

[tex]30x + 20 > 14x - 28[/tex]

Subtract sides -14x

[tex]30x - 14x + 20 > 14x - 14x - 28 \\ [/tex]

[tex]16x + 20 > - 28[/tex]

Subtract sides -20

[tex]16x + 20 - 20 > - 28 - 20[/tex]

[tex]16x > - 48[/tex]

Divided sides by 16

[tex] \frac{16}{16}x > \frac{ - 48}{16} \\ [/tex]

[tex]x > - 3[/tex]

_________________________________

Done ....♥️♥️♥️♥️♥️

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