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Liz · Answer 1 · 2016-05-22T13:44:46+0000

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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