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Math Question

Plane \( P \) contains four distinct lines \( l_{1}, l_{2}, l_{3} \), and \( l_{4} \). Suppose \( l_{1} \perp l_{2}, l_{2} \perp l_{3} \), and \( l_{3} \| l_{4} \). How are \( l_{1} \) and \( l_{4} \) related? Choose the correct answer below.
A \( l_{1} \) is perpendicular to \( l_{4} \) because \( l_{1} \) is parallel to \( l_{3} \) and \( l_{3} \) is parallel to \( l_{4} \).
(B) \( l_{1} \) is parallel to \( l_{4} \) because \( l_{1} \) is perpendicular to \( l_{3} \) and \( l_{3} \) is parallel to \( l_{4} \).
(C) \( l_{1} \) is perpendicular to \( l_{4} \) because \( l_{1} \) is perpendicular to \( l_{3} \) and \( l_{3} \) is parallel to \( l_{4} \).
(D) \( l_{1} \) is parallel to \( l_{4} \) because \( l_{1} \) is parallel to \( l_{3} \) and \( l_{3} \) is parallel to \( l_{4} \).

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