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Solve -5x-4<=-6x<=6x+5

1 Answer

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Answer:

-5/12 ≤ x ≤ 4

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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