Which represents the solution set to the inequality 5.1(3 + 2.2x) > –14.25 – 6(1.7x + 4)?

Distribute on both sides: 15.3 + 11.22x > −38.25 − 10.2x. Add 10.2x to both sides and subtract 15.3 to get 21.42x > −53.55. Dividing by the positive number 21.42 keeps the inequality direction, giving x > −2.5. The solution set is (−2.5, ∞), choice C.

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