def check_price(price):
    """
    Verifies that the given price is within the specified
    range (10.0 < x < 10000.0)

    :param price: a product's price
    :return: True if the price meets the requirements,
             False otherwise
    """
    if price < 10.0 or price > 10000.0:
        return False
    else:
        return True