Solution

The correct answer is For all real numbers x, there exists a real number y such that x is less than y 

Key Points

The expression ∀x∃y(x < y) can be translated into English as follows:

• ∀ x : For all real numbers x
• ∃ y : there exists a real number y
• (x < y) : such that x is less than y

Putting it all together, the correct translation is: 1) For all real numbers x , there exists a real number y such that x is less than y.