Determine whether the following sets are closed under addition, subtraction,
maldiplication, and division.
1. (-1,0,1)
2. 0,8
3. x^2,1
4. 0,x
5. -x^3,1,x^3
(-x,1,x+1)
7. (-1,1)
8. (-1,0,x]
9 (-1,x+3,1)
10. The set of whole numbers
11. The set of natural numbers 12. The set of integers
13. Polynomials without a
constant term
14. Thesetof rational numbers
15. The set of real
numbers
16. Write About It Compare closure properties under the four operations for the set
of rational numbers and the set of Irrational numbers.