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Let α,β ∈ ℝ be fixed with α > 1, and suppose that α is irrational and of finite type. We show that there are infinitely many Carmichael numbers composed solely of primes from the non-homogeneous Beatty sequence ${ℬ}_{\alpha ,\beta }={(\lfloor \alpha n+\beta \rfloor )}_{n=1}^{\infty }$. We conjecture that the same result holds true when α is an irrational number of infinite type.