Which phrase indicates that the pilot is cleared for takeoff after confirming the cable position?

The phrase "Barrier/cable indicates up/down, cleared for takeoff/to land" is the correct answer because it directly communicates the status of the runway safety system and confirms that the pilot has clearance for takeoff or landing. This phrase indicates that the barrier or cable system, which is a critical part of runway safety, is in the appropriate position (either "up" or "down") to allow for aircraft operations. When the barrier or cable is indicated as being in the 'up' position, it signals that the runway is clear and available for takeoff or landing, thereby authorizing the pilot to proceed.

The other options do not provide the necessary confirmation for takeoff. For instance, stating that "the cable is inoperative" indicates a malfunction, which would prevent any takeoff clearance. Similarly, saying "the barrier is activated" does not confirm whether it is safe for aircraft movement; it could imply a blockade. Lastly, the phrase "landing can proceed normally" is oriented around landings rather than takeoffs and does not address the status of the takeoff clearance or barrier, making it insufficient for the context of the question.