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QUESTION

If A and B are any two sets of integers, the sumset A+B is defined as A + B = {a + b:

If A and B are any two sets of integers, the sumset A+B is defined as 

A +  B = {a + b: a in A, b in B }

(i) compute A+B when A = {0, 1, 3, 4, 7, 10} and B = {0, 2, 5, 6, 10, 11, 15}

(ii) If |A| = m and |B| = n, prove that |A + B| ≥ m + n - 1

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