4 years ago

1/6(6-15d)<2/3(12d+15) Solve

1 answer:

5 0

      ¹/₆(-15d + 6) < ²/₃(12d + 15)
¹/₆(-15d) + ¹/₆(6) < ²/₃(12d) + ²/₃(15)
      -1¹/₂d + 1 < 8d + 10
      + 1¹/₂d + 1¹/₂d
   1 < 9¹/₂d + 10
   - 10    - 10
      -9 < 9¹/₂d
   ²/₁₉(-9) < ²/₁₉(9¹/₂d)
   ⁻¹⁸/₁₉ < d
   d > ⁻¹⁸/₁₉

Solution Set: {x ∈ x > ⁻¹⁸/₁₉}, (⁻¹⁸/₁₈, ∞)

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