Problem 1319 (difficulty: 5/10)

Let \(\displaystyle A,B\subset\R^p\) be disjoint bounded sets. Order the following numbers

\(\displaystyle k(A\cup B); \qquad b(A\cup B); \qquad k(A)+k(B); \qquad b(A)+b(B); \qquad k(A)+b(B); \qquad b(A)+k(B). \)

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