There are several ways to translate this ancient proverb. Translated literally and directly, it says, “Open roll has/yields benefit.”

To understand that, you must know a few things...

First, Chinese characters and language have deeper meanings that often are not spoken but are understood - especially with ancient texts like this. Example: It's understood that the “benefit” referred to in this proverb is to the reader's mind. Just the last character expresses that whole idea.

Second, Chinese proverbs are supposed to make you think and leave a bit of mystery to figure out.

Third, for this proverb, it should be noted that roll = book. When this proverb came about (about two thousand years ago), books were rolls of bamboo slips strung together. The first bound books like the ones we use today did not come about until about a thousand years after this proverb when they invented paper in China.

開卷有益 is a great gift for a bookworm who loves to read and increase their knowledge. Or for any friend that is or wants to be well-read.

Some other translations of this phrase:
Opening a book is profitable
The benefits of education.

This Chinese philosophy tells of how we continue to learn throughout our lives.

This proverb can be translated in a few ways such as “Study has no end,” “Knowledge is infinite,” “No end to learning,” “There's always something new to study,” or “You live and learn.”

The deeper meaning: Even when we finish school we are still students of the world gaining more knowledge from our surroundings with each passing day.

See Also:  An Open Book Benefits Your Mind | Wisdom | Learn From Wisdom

狡兔三窟 speaks to the cunning character of a sly rabbit. Such a rabbit will not have just one hole but rather a few entrances and exits from his liar.

About 2,250 years ago, a rich man told his assistant to go and buy something wonderful that he did not yet possess. He was a man that already had everything, so the assistant went to a local village that owed a great deal of money to the rich man. The assistant told the village elders that all debts were forgiven. All the villagers rejoiced and praised the rich man's name. The assistant returned to the rich man and told him he had purchased “benevolence” for him. The rich man was mildly amused but perhaps slightly confused by the action.

Sometime later, the rich man fell from the favor of the Emperor and was wiped out without a penny to his name. One day he was walking aimlessly and stumbled into the village where the debts had been forgiven. The villagers recognized the man and welcomed him with open arms, clothed, fed him, and gave him a place to live.

Without trying, the man had become like the sly and cunning rabbit. When his exit was blocked, he had another hole to emerge from - and was reborn. This story and idiom come from a book titled “The Amendment” - it's unclear whether this man actually existed or not. But the book did propel this idiom into common use in China.

Still today, this idiom about the rabbit is used in China when suggesting “backup plans,” alternate methods, and anyone with a good escape plan.