SOLUTION: Please help me solve this question: Determine whether each statement is true or false and give a counterexample if the statement is false. A. The set of rational numbers is close

Algebra ->  Real-numbers -> SOLUTION: Please help me solve this question: Determine whether each statement is true or false and give a counterexample if the statement is false. A. The set of rational numbers is close      Log On


   

Question 327328: Please help me solve this question:
Determine whether each statement is true or false and give a counterexample if the statement is false.
A. The set of rational numbers is closed under subtraction.
-10/(-2) = +5 = 5
B. The set of irrational numbers is closed under division.

Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
a) True, rational number minus rational number will give a rational number.
b) False,
sqrt%288%29%2Fsqrt%282%29=sqrt%288%2F2%29=sqrt%284%29=2 irrational number divided by irrational number leads to rational number.