andreagrissom8
andreagrissom8 andreagrissom8
  • 09-10-2020
  • Mathematics
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50 POINTS
What is the smallest value of x that makes this inequality true?

2/3(4x-1)-6 is greater than or equal to, 7-(2x+9) ​

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mourfious
mourfious mourfious
  • 09-10-2020

Answer:

it may be helpful for you

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ricchad
ricchad ricchad
  • 09-10-2020

Answer:

     x = 1   is true

Step-by-step explanation:

2/3(4x - 1) - 6   ≥   7 - (2x + 9)

remove parenthesis:

2/3*4x - 2/3*1 - 6   ≥   7 - 2x + 9

simplify:

8x/3 - 2/3 - 6         ≥   2x - 2  

combine similar terms:

8x/3  +  2x             ≥  -2 + 2/3 + 6  

simplify      14/3x   ≥   14/3

finally                  x = 1   is true

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