Posted by **Nithiya** on Friday, October 19, 2012 at 3:03pm.

For i; j 2 N let (i; j) denote the ordered pair in the cartesian product N N and fi; jg N the

subset consisting of the elements i and j. De ne the sets A and B as follows:

A := f;; 1; 2; (1; 3); (3; 1); f1; 3g; f3; 1gg, B := f3; (1; 2); (2; 1); f1; 2g; f2; 1; 2gg. Check whether the

following statements are true or false. Give a brief explanation for your answer.

(i): jAj = 6; (ii): jBj = 5; (iii): A \ B = ;; (iv): (3; 1) 2 A; (v): (1; 3) 2 A B;

(vi): (3; 1) 2 A \ (B A); (vii): (2; 1) 2 B \ (A A); (viii): f1; 3g A.

## Answer This Question

## Related Questions

- algebra - Rewrite the following using mathematical symbols: a) P is equal to the...
- math - 2-2A #2 Rewrite the following using mathematical symbols: a. P is equal ...
- Math(Subsets) - Part 1 I have to use symbols in my anwser Suppose B is proper ...
- Algebra - How many elements are in the Cartesian product D x E?
- math - Consider the set {1,2,3,4,5,6,7,8,9,10}. For each subset, calculate the ...
- Math Really Hard - Let S be a subset of {1, 2, 3,...100}, containing 50 elements...
- Discrete Math - For sets A, B, C is a subset of U, prove or disprove (with a ...
- Math - find the intercept and graph. -x+3y=-6 I need to complete the ordered ...
- venn - how to draw a venn diagram for: A is a subset of B; C is a subset of B; ...
- Maths - Sets Notation - Hello I'm too confused in this A proper set is said to ...

More Related Questions