Parentheses can be used in Boolean logic to clarify the order of operations, just as in ordinary arithmetic. Assuming that the height of a palm tree is 5 meters, the height of a lighthouse is 25 meters, and the height of a beach house is 10 meters, rewrite the following expression exactly as it is three times, but with parentheses in different places each time. Determine whether each of the new expressions is true or false.
Height of the beach house is less than the height of the lighthouse and not height of the lighthouse is less than the height of the tree or height of the beach house equals the height of the tree.