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Solve a compound inequality

Solve[-2 < x + 3 < 5, x]

Use assignments and rewrite

a := x + 3 Solve[-2 < a < 5, x]

Solve and Deconstruct

Solve[2 < (3x - 1)/2 < 5, x] Then define: ineq := (3x - 1)/2 And solve piece by piece: Solve[ineq > 2, x] Solve[ineq < 5, x]

Does solving each part individually give the same result as the combined version?