leana0
leana0 leana0
  • 16-11-2020
  • Mathematics
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sqdancefan
sqdancefan sqdancefan
  • 17-11-2020

9514 1404 393

Answer:

  -14 ≤ x ≤ 20

Step-by-step explanation:

Left inequality:

  2(3 -x) +5 ≤ 39

  2(3 -x) ≤ 34 . . . . . subtract 5

  3 -x ≤ 17 . . . . . . . divide by 2

  3 -17 ≤ x . . . . . . . . add x-17

  -14 ≤ x

__

Right inequality:

  2(x -3) +5 ≤ 39

  2(x -3) ≤ 34 . . . . . . subtract 5

  x -3 ≤ 17 . . . . . . . . .divide by 2

  x ≤ 20 . . . . . . . . . . add 3

__

The solution is ...

  -14 ≤ x ≤ 20

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