ddavid9361 ddavid9361
  • 06-09-2019
  • Mathematics
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Solve -5x-4<=-6x<=6x+5

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sqdancefan
sqdancefan sqdancefan
  • 09-09-2019

Answer:

  -5/12 ≤ x ≤ 4

Step-by-step explanation:

This compound inequality can be written as two:

  • -5x-4 ≤ -6x
  • -6x ≤ 6x+5

Solving these one at a time, we get ...

  -5x -4 ≤ -6x

  x - 4 ≤ 0 . . . . . add 6x

  x ≤ 4 . . . . . . . . add 4

__

  -6x ≤ 6x +5

  0 ≤ 12x +5 . . . . add 6x

  0 ≤ x + 5/12 . . . . . . divide by 12

  -5/12 ≤ x . . . . . . subtract 5/12

Then the solution is ...

  -5/12 ≤ x ≤ 4

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