taejm76
taejm76 taejm76
  • 09-09-2020
  • Mathematics
contestada

what is the solution to this inequality: -4(3x-5)<2(3x+4)​

Respuesta :

mathstudent55
mathstudent55 mathstudent55
  • 09-09-2020

Answer:

x > 2/3

Step-by-step explanation:

-4(3x - 5) < 2(3x + 4)​

Divide both sides by 2.

-2(3x - 5) < 3x + 4

Distribute on the left side.

-6x + 10 < 3x + 4

Subtract 3x from both sides.

-9x + 10 < 4

Subtract 10 from both sides.

-9x < - 6

Divide both sides by -9. Remember that when you divide both sides of an inequality by a negative number, the inequality sign changes direction.

x > (-6)/(-9)

x > 6/9

x > 2/3

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