Each day, a store opens with 175 shirts out on display. On average, 6 shirts are sold per hour. The store manager likes to keep at least 150 shirts on display at all times. If there are fewer than 150 on display, more shirts are brought out from the storeroom. The manager writes the inequality \(\text-6x+175 \geq 150\) to describe the situation.

1. Explain what \(x\) represents in the inequality.
2. Solve the inequality.
3. Explain what the solution means in the situation.