sanderrs
sanderrs sanderrs
  • 09-12-2015
  • Mathematics
contestada

Solve the following absolute value inequality. Show your steps.
| x-5 | is Less than or equal to 7

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Panoyin
Panoyin Panoyin
  • 09-12-2015
|x - 5| ≤ 7
|x - 5| ≤ ±7
|x - 5| ≤ 7    or    |x - 5| ≤ -7
  x - 5 ≤ 7     or     x - 5 ≤ -7
    + 5 + 5               + 5  + 5
       x ≤ 12        or      x ≤ -2

Solution Set: {x| x ≤ -2} and (-∞, -2]
Answer Link

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