McSmArTyPanTs10 McSmArTyPanTs10
  • 09-09-2019
  • Mathematics
contestada

What’s the answer to the problem 2/3x+14-3x>-7 please explain in step by step

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calculista
calculista calculista
  • 22-09-2019

Answer:

[tex]x < 9[/tex]

Step-by-step explanation:

we have

[tex]\frac{2}{3}x+14-3x > -7[/tex]

Solve for x

Multiply by 3 both sides to remove the fraction

[tex]2x+42-9x > -21[/tex]

Combine like terms in the left side

[tex]42-7x > -21[/tex]

Subtract 42 both sides

[tex]-7x > -21-42[/tex]

[tex]-7x > -63[/tex]

Multiply by -1 both sides

[tex]7x < 63[/tex]

Divide by 7 both sides

[tex]x < 63/7[/tex]

[tex]x < 9[/tex]

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