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### High School Mathematics7.4 Prove The Given Statements

 If m = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}, A = {1, 3, 5, 7}, B = {2, 4, 6, 8} and C = {3, 6, 9}, then check the following statements. And also illustrate the statements in Venn diagrams. 1. A Ç A = A. 2. A È A = A. 3. A Ç j = j. 4. A Ç m = A. 5. A È j = A. 6. A È m = m. 7. A È B = B È A. 8. A Ç B = B Ç A. De Morgan's Laws. 1. A È (B Ç C) = (A È B) Ç (A È C). 2. A Ç (B È C) = (A Ç B) È (A Ç C)

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