Question

Which of the following sets of real numbers is such that if x and y are the elements of the set , then the sum of x and y is also an element of the set:
I. The set of negative integers
II. The set of rational numbers
III. The set of irrational numbers

• A. None
• B. I only
• C. I and II only
• D. II and III only
• E. I, II, and III

Answer 1

The correct option is C I and II only

$\sqrt{2}+(-\sqrt{2})=0$ a rational no.

Hence 3rd statement is false. First and second statements are always true.