Problem 3. (10 points) Translate each of the following using quantifiers. You may use "=",">", etc. for the predicates is equal to, is greater than, etc. Express each of the following statements as a quantified proposition. a. Not every natural number is a square b. No natural number is the largest C. There is always a real number between any two given real numbers. d. Write the predicate Prime(x) which is true if and only if the natural number x is prime. (Note 0 and 1 are not prime.) e. Every positive natural number has exactly two real square roots Problem 3. (10 points) Translate each of the following using quantifiers. You may use "=",">", etc. for the predicates is equal to, is greater than, etc. Express each of the following statements as a quantified proposition. a. Not every natural number is a square b. No natural number is the largest C. There is always a real number between any two given real numbers. d. Write the predicate Prime(x) which is true if and only if the natural number x is prime. (Note 0 and 1 are not prime.) e. Every positive natural number has exactly two real square roots