7/30/2019 Math 17 First Quiz

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Math 17 Quiz (June 22, 2012)

TRUE or FALSE

1. If A B = A, then B = A. (false)

2. Given 3 non-empty sets A, B, C; if A B and B C, then A C. (false)

3. For any two sets A and B, if A U B = A, then AC BC.

4. If x is an element of A and B, then x (ACU B)C. (false)

5. If A B and A C, then B C A. (false)

6. For any set A, A.

7. If A = {x, y, } and B = {m, , n}, then A B = . (false)

8. If A is a finite set and B is an infinite set, then A x B is finite. (false)

9. The set of positive real numbers is closed under multiplication. (true)

10. R (set of real numbers) Q (set of rational numbers) is closed under addition. (false)