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Please solve step-by-step and explain. Thanks! Suppose that A and B are nonempty sets and ABBA. Show that A=B. Suggestion: show that AB and BA,

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Please solve step-by-step and explain. Thanks!

Suppose that A and B are nonempty sets and ABBA. Show that A=B. Suggestion: show that AB and BA, using proof by contradiction in each case

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