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Answer:

a. [tex] A\cap B=\{6, 11\}[/tex]

Step-by-step explanation:

U = {3, 4, 6, 7, 9, 11, 12, 15}

A = {3, 6, 11, 12}

B = {6, 7, 11, 15}

Since, 6 and 11 are common elements in sets A and B. Therefore ,

[tex] A\cap B=\{6, 11\}[/tex]