69er2021 69er2021
  • 04-04-2022
  • Mathematics
contestada

What is the value of x? 1/6 (3 - 2x) < 1/3 x

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reinhard10158
reinhard10158 reinhard10158
  • 05-04-2022

Step-by-step explanation:

1/6 (3 - 2x) < 1/3 x

let's multiply everything by 6

3 - 2x < 6/3 x

3 - 2x < 2x

3 < 4x

3/4 < x

so, x > 3/4

since 3/4 is never equal to x but is purely smaller than x, the interval of valid x values starts right after 3/4 and goes to infinity.

x = 3/4 is not valid, because 3/4 is not smaller than 3/4 (it is equal to) ...

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