6. Write the relation R = {(x,x): x is a prime number less than 10) in roster form.
7. The Cartesian product Ax A has 9 elements among which are found (-1,0) and (0, 1). Find the set A and the remaining elements of AXA.
8. Let A = {1, 2}, B = {1, 2, 3, 4), C = {5, 6) and D = (5,6,7,8). Verify that (i) AⓇ (BOC) = (A x B) n (AXC) (ii) Ax Cis a subset of BD 9. Let A = {1, 2, 3, ... , 14). Define a relation R from A to A by R = {(x, y): 3x - y = 0, where x, y E A). Write down its domain, co domain and range. A B >2 9 -1 2.2 > -3 -4 16
10. The above figure shows relation R between A and B. Write relation in (i) Set builder form. (ii) Roster form. (iii) Find domain and range of R.
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